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Publisher: Elsevier   (Total: 3044 journals)

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Showing 1 - 200 of 3044 Journals sorted alphabetically
AASRI Procedia     Open Access   (Followers: 15)
Academic Pediatrics     Hybrid Journal   (Followers: 22, SJR: 1.402, h-index: 51)
Academic Radiology     Hybrid Journal   (Followers: 21, SJR: 1.008, h-index: 75)
Accident Analysis & Prevention     Partially Free   (Followers: 84, SJR: 1.109, h-index: 94)
Accounting Forum     Hybrid Journal   (Followers: 23, SJR: 0.612, h-index: 27)
Accounting, Organizations and Society     Hybrid Journal   (Followers: 29, SJR: 2.515, h-index: 90)
Achievements in the Life Sciences     Open Access   (Followers: 4)
Acta Anaesthesiologica Taiwanica     Open Access   (Followers: 5, SJR: 0.338, h-index: 19)
Acta Astronautica     Hybrid Journal   (Followers: 343, SJR: 0.726, h-index: 43)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Biomaterialia     Hybrid Journal   (Followers: 25, SJR: 2.02, h-index: 104)
Acta Colombiana de Cuidado Intensivo     Full-text available via subscription   (Followers: 1)
Acta de Investigación Psicológica     Open Access   (Followers: 2)
Acta Ecologica Sinica     Open Access   (Followers: 8, SJR: 0.172, h-index: 29)
Acta Haematologica Polonica     Free   (SJR: 0.123, h-index: 8)
Acta Histochemica     Hybrid Journal   (Followers: 3, SJR: 0.604, h-index: 38)
Acta Materialia     Hybrid Journal   (Followers: 214, SJR: 3.683, h-index: 202)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5, SJR: 0.615, h-index: 21)
Acta Mechanica Solida Sinica     Full-text available via subscription   (Followers: 9, SJR: 0.442, h-index: 21)
Acta Oecologica     Hybrid Journal   (Followers: 10, SJR: 0.915, h-index: 53)
Acta Otorrinolaringologica (English Edition)     Full-text available via subscription   (Followers: 1)
Acta Otorrinolaringológica Española     Full-text available via subscription   (Followers: 3, SJR: 0.311, h-index: 16)
Acta Pharmaceutica Sinica B     Open Access   (Followers: 2)
Acta Poética     Open Access   (Followers: 4)
Acta Psychologica     Hybrid Journal   (Followers: 23, SJR: 1.365, h-index: 73)
Acta Sociológica     Open Access  
Acta Tropica     Hybrid Journal   (Followers: 6, SJR: 1.059, h-index: 77)
Acta Urológica Portuguesa     Open Access  
Actas Dermo-Sifiliograficas     Full-text available via subscription   (Followers: 4)
Actas Dermo-Sifiliográficas (English Edition)     Full-text available via subscription   (Followers: 3)
Actas Urológicas Españolas     Full-text available via subscription   (Followers: 4, SJR: 0.383, h-index: 19)
Actas Urológicas Españolas (English Edition)     Full-text available via subscription   (Followers: 2)
Actualites Pharmaceutiques     Full-text available via subscription   (Followers: 5, SJR: 0.141, h-index: 3)
Actualites Pharmaceutiques Hospitalieres     Full-text available via subscription   (Followers: 4, SJR: 0.112, h-index: 2)
Acupuncture and Related Therapies     Hybrid Journal   (Followers: 3)
Acute Pain     Full-text available via subscription   (Followers: 13)
Ad Hoc Networks     Hybrid Journal   (Followers: 11, SJR: 0.967, h-index: 57)
Addictive Behaviors     Hybrid Journal   (Followers: 15, SJR: 1.514, h-index: 92)
Addictive Behaviors Reports     Open Access   (Followers: 5)
Additive Manufacturing     Hybrid Journal   (Followers: 7, SJR: 1.039, h-index: 5)
Additives for Polymers     Full-text available via subscription   (Followers: 21)
Advanced Drug Delivery Reviews     Hybrid Journal   (Followers: 134, SJR: 5.2, h-index: 222)
Advanced Engineering Informatics     Hybrid Journal   (Followers: 11, SJR: 1.265, h-index: 53)
Advanced Powder Technology     Hybrid Journal   (Followers: 17, SJR: 0.739, h-index: 33)
Advances in Accounting     Hybrid Journal   (Followers: 9, SJR: 0.299, h-index: 15)
Advances in Agronomy     Full-text available via subscription   (Followers: 15, SJR: 2.071, h-index: 82)
Advances in Anesthesia     Full-text available via subscription   (Followers: 25, SJR: 0.169, h-index: 4)
Advances in Antiviral Drug Design     Full-text available via subscription   (Followers: 3)
Advances in Applied Mathematics     Full-text available via subscription   (Followers: 6, SJR: 1.054, h-index: 35)
Advances in Applied Mechanics     Full-text available via subscription   (Followers: 10, SJR: 0.801, h-index: 26)
Advances in Applied Microbiology     Full-text available via subscription   (Followers: 22, SJR: 1.286, h-index: 49)
Advances In Atomic, Molecular, and Optical Physics     Full-text available via subscription   (Followers: 16, SJR: 3.31, h-index: 42)
Advances in Biological Regulation     Hybrid Journal   (Followers: 4, SJR: 2.277, h-index: 43)
Advances in Botanical Research     Full-text available via subscription   (Followers: 3, SJR: 0.619, h-index: 48)
Advances in Cancer Research     Full-text available via subscription   (Followers: 25, SJR: 2.215, h-index: 78)
Advances in Carbohydrate Chemistry and Biochemistry     Full-text available via subscription   (Followers: 9, SJR: 0.9, h-index: 30)
Advances in Catalysis     Full-text available via subscription   (Followers: 5, SJR: 2.139, h-index: 42)
Advances in Cellular and Molecular Biology of Membranes and Organelles     Full-text available via subscription   (Followers: 12)
Advances in Chemical Engineering     Full-text available via subscription   (Followers: 25, SJR: 0.183, h-index: 23)
Advances in Child Development and Behavior     Full-text available via subscription   (Followers: 10, SJR: 0.665, h-index: 29)
Advances in Chronic Kidney Disease     Full-text available via subscription   (Followers: 10, SJR: 1.268, h-index: 45)
Advances in Clinical Chemistry     Full-text available via subscription   (Followers: 28, SJR: 0.938, h-index: 33)
Advances in Colloid and Interface Science     Full-text available via subscription   (Followers: 18, SJR: 2.314, h-index: 130)
Advances in Computers     Full-text available via subscription   (Followers: 16, SJR: 0.223, h-index: 22)
Advances in Dermatology     Full-text available via subscription   (Followers: 12)
Advances in Developmental Biology     Full-text available via subscription   (Followers: 11)
Advances in Digestive Medicine     Open Access   (Followers: 5)
Advances in DNA Sequence-Specific Agents     Full-text available via subscription   (Followers: 5)
Advances in Drug Research     Full-text available via subscription   (Followers: 22)
Advances in Ecological Research     Full-text available via subscription   (Followers: 41, SJR: 3.25, h-index: 43)
Advances in Engineering Software     Hybrid Journal   (Followers: 25, SJR: 0.486, h-index: 10)
Advances in Experimental Biology     Full-text available via subscription   (Followers: 7)
Advances in Experimental Social Psychology     Full-text available via subscription   (Followers: 40, SJR: 5.465, h-index: 64)
Advances in Exploration Geophysics     Full-text available via subscription   (Followers: 3)
Advances in Food and Nutrition Research     Full-text available via subscription   (Followers: 48, SJR: 0.674, h-index: 38)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 15)
Advances in Genetics     Full-text available via subscription   (Followers: 15, SJR: 2.558, h-index: 54)
Advances in Genome Biology     Full-text available via subscription   (Followers: 11)
Advances in Geophysics     Full-text available via subscription   (Followers: 6, SJR: 2.325, h-index: 20)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 21, SJR: 0.906, h-index: 24)
Advances in Heterocyclic Chemistry     Full-text available via subscription   (Followers: 8, SJR: 0.497, h-index: 31)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 2, SJR: 0.396, h-index: 27)
Advances in Immunology     Full-text available via subscription   (Followers: 35, SJR: 4.152, h-index: 85)
Advances in Inorganic Chemistry     Full-text available via subscription   (Followers: 9, SJR: 1.132, h-index: 42)
Advances in Insect Physiology     Full-text available via subscription   (Followers: 3, SJR: 1.274, h-index: 27)
Advances in Integrative Medicine     Hybrid Journal   (Followers: 6)
Advances in Life Course Research     Hybrid Journal   (Followers: 8, SJR: 0.764, h-index: 15)
Advances in Lipobiology     Full-text available via subscription   (Followers: 2)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Marine Biology     Full-text available via subscription   (Followers: 15, SJR: 1.645, h-index: 45)
Advances in Mathematics     Full-text available via subscription   (Followers: 10, SJR: 3.261, h-index: 65)
Advances in Medical Sciences     Hybrid Journal   (Followers: 6, SJR: 0.489, h-index: 25)
Advances in Medicinal Chemistry     Full-text available via subscription   (Followers: 5)
Advances in Microbial Physiology     Full-text available via subscription   (Followers: 4, SJR: 1.44, h-index: 51)
Advances in Molecular and Cell Biology     Full-text available via subscription   (Followers: 22)
Advances in Molecular and Cellular Endocrinology     Full-text available via subscription   (Followers: 10)
Advances in Molecular Toxicology     Full-text available via subscription   (Followers: 7, SJR: 0.324, h-index: 8)
Advances in Nanoporous Materials     Full-text available via subscription   (Followers: 4)
Advances in Oncobiology     Full-text available via subscription   (Followers: 3)
Advances in Organometallic Chemistry     Full-text available via subscription   (Followers: 15, SJR: 2.885, h-index: 45)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7, SJR: 0.148, h-index: 11)
Advances in Parasitology     Full-text available via subscription   (Followers: 7, SJR: 2.37, h-index: 73)
Advances in Pediatrics     Full-text available via subscription   (Followers: 24, SJR: 0.4, h-index: 28)
Advances in Pharmaceutical Sciences     Full-text available via subscription   (Followers: 13)
Advances in Pharmacology     Full-text available via subscription   (Followers: 15, SJR: 1.718, h-index: 58)
Advances in Physical Organic Chemistry     Full-text available via subscription   (Followers: 7, SJR: 0.384, h-index: 26)
Advances in Phytomedicine     Full-text available via subscription  
Advances in Planar Lipid Bilayers and Liposomes     Full-text available via subscription   (Followers: 3, SJR: 0.248, h-index: 11)
Advances in Plant Biochemistry and Molecular Biology     Full-text available via subscription   (Followers: 8)
Advances in Plant Pathology     Full-text available via subscription   (Followers: 5)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Protein Chemistry     Full-text available via subscription   (Followers: 18)
Advances in Protein Chemistry and Structural Biology     Full-text available via subscription   (Followers: 19, SJR: 1.5, h-index: 62)
Advances in Psychology     Full-text available via subscription   (Followers: 61)
Advances in Quantum Chemistry     Full-text available via subscription   (Followers: 5, SJR: 0.478, h-index: 32)
Advances in Radiation Oncology     Open Access  
Advances in Small Animal Medicine and Surgery     Hybrid Journal   (Followers: 2, SJR: 0.1, h-index: 2)
Advances in Space Research     Full-text available via subscription   (Followers: 348, SJR: 0.606, h-index: 65)
Advances in Structural Biology     Full-text available via subscription   (Followers: 8)
Advances in Surgery     Full-text available via subscription   (Followers: 7, SJR: 0.823, h-index: 27)
Advances in the Study of Behavior     Full-text available via subscription   (Followers: 30, SJR: 1.321, h-index: 56)
Advances in Veterinary Medicine     Full-text available via subscription   (Followers: 16)
Advances in Veterinary Science and Comparative Medicine     Full-text available via subscription   (Followers: 13)
Advances in Virus Research     Full-text available via subscription   (Followers: 5, SJR: 1.878, h-index: 68)
Advances in Water Resources     Hybrid Journal   (Followers: 43, SJR: 2.408, h-index: 94)
Aeolian Research     Hybrid Journal   (Followers: 5, SJR: 0.973, h-index: 22)
Aerospace Science and Technology     Hybrid Journal   (Followers: 317, SJR: 0.816, h-index: 49)
AEU - Intl. J. of Electronics and Communications     Hybrid Journal   (Followers: 8, SJR: 0.318, h-index: 36)
African J. of Emergency Medicine     Open Access   (Followers: 5, SJR: 0.344, h-index: 6)
Ageing Research Reviews     Hybrid Journal   (Followers: 8, SJR: 3.289, h-index: 78)
Aggression and Violent Behavior     Hybrid Journal   (Followers: 408, SJR: 1.385, h-index: 72)
Agri Gene     Hybrid Journal  
Agricultural and Forest Meteorology     Hybrid Journal   (Followers: 15, SJR: 2.18, h-index: 116)
Agricultural Systems     Hybrid Journal   (Followers: 30, SJR: 1.275, h-index: 74)
Agricultural Water Management     Hybrid Journal   (Followers: 39, SJR: 1.546, h-index: 79)
Agriculture and Agricultural Science Procedia     Open Access  
Agriculture and Natural Resources     Open Access   (Followers: 1)
Agriculture, Ecosystems & Environment     Hybrid Journal   (Followers: 54, SJR: 1.879, h-index: 120)
Ain Shams Engineering J.     Open Access   (Followers: 5, SJR: 0.434, h-index: 14)
Air Medical J.     Hybrid Journal   (Followers: 5, SJR: 0.234, h-index: 18)
AKCE Intl. J. of Graphs and Combinatorics     Open Access   (SJR: 0.285, h-index: 3)
Alcohol     Hybrid Journal   (Followers: 9, SJR: 0.922, h-index: 66)
Alcoholism and Drug Addiction     Open Access   (Followers: 8)
Alergologia Polska : Polish J. of Allergology     Full-text available via subscription   (Followers: 1)
Alexandria Engineering J.     Open Access   (Followers: 1, SJR: 0.436, h-index: 12)
Alexandria J. of Medicine     Open Access  
Algal Research     Partially Free   (Followers: 8, SJR: 2.05, h-index: 20)
Alkaloids: Chemical and Biological Perspectives     Full-text available via subscription   (Followers: 3)
Allergologia et Immunopathologia     Full-text available via subscription   (Followers: 1, SJR: 0.46, h-index: 29)
Allergology Intl.     Open Access   (Followers: 4, SJR: 0.776, h-index: 35)
Alpha Omegan     Full-text available via subscription   (SJR: 0.121, h-index: 9)
ALTER - European J. of Disability Research / Revue Européenne de Recherche sur le Handicap     Full-text available via subscription   (Followers: 8, SJR: 0.158, h-index: 9)
Alzheimer's & Dementia     Hybrid Journal   (Followers: 47, SJR: 4.289, h-index: 64)
Alzheimer's & Dementia: Diagnosis, Assessment & Disease Monitoring     Open Access   (Followers: 5)
Alzheimer's & Dementia: Translational Research & Clinical Interventions     Open Access   (Followers: 3)
American Heart J.     Hybrid Journal   (Followers: 48, SJR: 3.157, h-index: 153)
American J. of Cardiology     Hybrid Journal   (Followers: 45, SJR: 2.063, h-index: 186)
American J. of Emergency Medicine     Hybrid Journal   (Followers: 39, SJR: 0.574, h-index: 65)
American J. of Geriatric Pharmacotherapy     Full-text available via subscription   (Followers: 6, SJR: 1.091, h-index: 45)
American J. of Geriatric Psychiatry     Hybrid Journal   (Followers: 16, SJR: 1.653, h-index: 93)
American J. of Human Genetics     Hybrid Journal   (Followers: 31, SJR: 8.769, h-index: 256)
American J. of Infection Control     Hybrid Journal   (Followers: 24, SJR: 1.259, h-index: 81)
American J. of Kidney Diseases     Hybrid Journal   (Followers: 32, SJR: 2.313, h-index: 172)
American J. of Medicine     Hybrid Journal   (Followers: 46, SJR: 2.023, h-index: 189)
American J. of Medicine Supplements     Full-text available via subscription   (Followers: 3)
American J. of Obstetrics and Gynecology     Hybrid Journal   (Followers: 192, SJR: 2.255, h-index: 171)
American J. of Ophthalmology     Hybrid Journal   (Followers: 56, SJR: 2.803, h-index: 148)
American J. of Ophthalmology Case Reports     Open Access   (Followers: 4)
American J. of Orthodontics and Dentofacial Orthopedics     Full-text available via subscription   (Followers: 6, SJR: 1.249, h-index: 88)
American J. of Otolaryngology     Hybrid Journal   (Followers: 24, SJR: 0.59, h-index: 45)
American J. of Pathology     Hybrid Journal   (Followers: 26, SJR: 2.653, h-index: 228)
American J. of Preventive Medicine     Hybrid Journal   (Followers: 21, SJR: 2.764, h-index: 154)
American J. of Surgery     Hybrid Journal   (Followers: 34, SJR: 1.286, h-index: 125)
American J. of the Medical Sciences     Hybrid Journal   (Followers: 12, SJR: 0.653, h-index: 70)
Ampersand : An Intl. J. of General and Applied Linguistics     Open Access   (Followers: 5)
Anaerobe     Hybrid Journal   (Followers: 4, SJR: 1.066, h-index: 51)
Anaesthesia & Intensive Care Medicine     Full-text available via subscription   (Followers: 55, SJR: 0.124, h-index: 9)
Anaesthesia Critical Care & Pain Medicine     Full-text available via subscription   (Followers: 9)
Anales de Cirugia Vascular     Full-text available via subscription  
Anales de Pediatría     Full-text available via subscription   (Followers: 2, SJR: 0.209, h-index: 27)
Anales de Pediatría (English Edition)     Full-text available via subscription  
Anales de Pediatría Continuada     Full-text available via subscription   (SJR: 0.104, h-index: 3)
Analytic Methods in Accident Research     Hybrid Journal   (Followers: 2, SJR: 2.577, h-index: 7)
Analytica Chimica Acta     Hybrid Journal   (Followers: 37, SJR: 1.548, h-index: 152)
Analytical Biochemistry     Hybrid Journal   (Followers: 166, SJR: 0.725, h-index: 154)
Analytical Chemistry Research     Open Access   (Followers: 8, SJR: 0.18, h-index: 2)
Analytical Spectroscopy Library     Full-text available via subscription   (Followers: 11)
Anesthésie & Réanimation     Full-text available via subscription   (Followers: 1)
Anesthesiology Clinics     Full-text available via subscription   (Followers: 22, SJR: 0.421, h-index: 40)
Angiología     Full-text available via subscription   (SJR: 0.124, h-index: 9)
Angiologia e Cirurgia Vascular     Open Access  
Animal Behaviour     Hybrid Journal   (Followers: 156, SJR: 1.907, h-index: 126)
Animal Feed Science and Technology     Hybrid Journal   (Followers: 5, SJR: 1.151, h-index: 83)
Animal Reproduction Science     Hybrid Journal   (Followers: 5, SJR: 0.711, h-index: 78)
Annales d'Endocrinologie     Full-text available via subscription   (Followers: 1, SJR: 0.394, h-index: 30)
Annales d'Urologie     Full-text available via subscription  
Annales de Cardiologie et d'Angéiologie     Full-text available via subscription   (SJR: 0.177, h-index: 13)
Annales de Chirurgie de la Main et du Membre Supérieur     Full-text available via subscription  
Annales de Chirurgie Plastique Esthétique     Full-text available via subscription   (Followers: 2, SJR: 0.354, h-index: 22)
Annales de Chirurgie Vasculaire     Full-text available via subscription   (Followers: 1)

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Journal Cover Acta Mathematica Scientia
  [SJR: 0.615]   [H-I: 21]   [5 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0252-9602
   Published by Elsevier Homepage  [3044 journals]
  • Zero dissipation limit to a Riemann solution for the compressible
           Navier-Stokes system of general gas
    • Authors: Hakho HONG; Teng WANG
      Pages: 1177 - 1208
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Hakho HONG, Teng WANG
      For the general gas including ideal polytropic gas, we study the zero dissipation limit problem of the full 1-D compressible Navier-Stokes equations toward the superposition of contact discontinuity and two rarefaction waves. In the case of both smooth and Riemann initial data, we show that if the solutions to the corresponding Euler system consist of the composite wave of two rarefaction wave and contact discontinuity, then there exist solutions to Navier-Stokes equations which converge to the Riemman solutions away from the initial layer with a decay rate in any fixed time interval as the viscosity and the heat-conductivity coefficients tend to zero. The proof is based on scaling arguments, the construction of the approximate profiles and delicate energy estimates. Notice that we have no need to restrict the strengths of the contact discontinuity and rarefaction waves to be small.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30067-x
       
  • On a generalized geometric constant and sufficient conditions for normal
           structure in Banach spaces
    • Authors: Mina DINARVAND
      Pages: 1209 - 1220
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Mina DINARVAND
      In this paper, we introduce a new geometric constant C N J ( p ) ( a , X ) of a Banach space X, which is closely related to the generalized von Neumann-Jordan constant and analyze some properties of the constant. Subsequently, we present several sufficient conditions for normal structure of a Banach space in terms of this new constant, the generalized James constant, the generalized García-Falset coefficient and the coefficient of weak orthogonality of Sims. Our main results of the paper generalize some known results in the recent literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30068-1
       
  • Szegö type factorization of Haagerup noncommutative Hardy spaces
    • Authors: Turdebek N. Bekjan
      Pages: 1221 - 1229
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Turdebek N. Bekjan
      Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szegö type factorization theorem for the Haagerup noncommutative Hp-spaces.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30069-3
       
  • The Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the
           whole space
    • Authors: Dongcheng YANG
      Pages: 1237 - 1261
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Dongcheng YANG
      In this paper, we consider the Vlasov-Maxwell-Fokker-Planck system with relativistic transport in the whole space. The global solutions to this system near the relativistic Maxwellian are constructed and the optimal time decay rate of global solutions are also obtained by an approach by combining the compensating function and energy method.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30071-1
       
  • Smoothing Newton algorithm for the circular cone programming with a
           nonmonotone line search
    • Authors: Xiaoni CHI; Hongjin WEI; Zhongping WAN; Zhibin ZHU
      Pages: 1262 - 1280
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Xiaoni CHI, Hongjin WEI, Zhongping WAN, Zhibin ZHU
      In this paper, we present a nonmonotone smoothing Newton algorithm for solving the circular cone programming (CCP) problem in which a linear function is minimized or maximized over the intersection of an affine space with the circular cone. Based on the relationship between the circular cone and the second-order cone (SOC), we reformulate the CCP problem as the second-order cone problem (SOCP). By extending the nonmonotone line search for unconstrained optimization to the CCP, a nonmonotone smoothing Newton method is proposed for solving the CCP. Under suitable assumptions, the proposed algorithm is shown to be globally and locally quadratically convergent. Some preliminary numerical results indicate the effectiveness of the proposed algorithm for solving the CCP.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30072-3
       
  • Average regularity of the solution to an equation with the
           relativistic-free transport operator
    • Authors: Jianjun HUANG
      Pages: 1281 - 1294
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Jianjun HUANG
      Let u = u(t,x, p) satisfy the transport equation ∂ u ∂ t + P p 0 ∂ ∂ x = , where f=f(t, x,p) belongs to Lp ((0,T)× R 3 × R 3) for 1< p <∞ and ∂ ∂ t + P p 0 ∂ ∂ x is the relativistic-free transport operator from the relativistic Boltzmann equation. We show the regularity of ∫ R 3 u ( t , x , p ) d p using the same method as given by Golse, Lions, Perthame and Sentis. This average regularity is considered in terms of fractional Sobolev spaces and it is very useful for the study of the existence of the solution to the Cauchy problem on the relativistic Boltzmann equation.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30073-5
       
  • Globally attracting solutions to impulsive fractional differential
           inclusions of Sobolev type
    • Authors: Van Hien LE; Dinh Ke TRAN; Trong Kinh CHU
      Pages: 1295 - 1318
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Van Hien LE, Dinh Ke TRAN, Trong Kinh CHU
      We study a generalized Cauchy problem associated with a class of impulsive fractional differential inclusions of Sobolev type in Banach spaces. Our aim is to prove the existence of a compact set of globally attracting solutions to the problem in question. An application to fractional partial differential equations subject to impulsive effects is given to illustrate our results.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30074-7
       
  • Complete moment convergence for Lp-mixingales
    • Authors: Dehua QIU; Pingyan CHEN; Volodin ANDREI
      Pages: 1319 - 1330
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Dehua QIU, Pingyan CHEN, Volodin ANDREI
      In this paper, the complete moment convergence for L p -mixingales are studied. Sufficient conditions are given for the complete moment convergence for the maximal partial sums of B-valued Lp -mixingales by utilizing the Rosenthal maximal type inequality for B-valued martingale difference sequence, which extend and improve the related known works in the literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30075-9
       
  • Local and parallel finite element method for the mixed Navier-Stokes/Darcy
           model with Beavers-Joseph interface conditions
    • Authors: Guangzhi DU; Liyun ZUO
      Pages: 1331 - 1347
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guangzhi DU, Liyun ZUO
      In this paper, we consider the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. Based on two-grid discretizations, a local and parallel finite element algorithm for this mixed model is proposed and analyzed. Optimal errors are obtained and numerical experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithm.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30076-0
       
  • Existence result for a class of N-Laplacian equations involving critical
           growth
    • Authors: Guoqing ZHANG; Weiguo ZHANG; Sanyang LIU
      Pages: 1348 - 1360
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guoqing ZHANG, Weiguo ZHANG, Sanyang LIU
      In this paper, we consider a class of N-Laplacian equations involving critical growth { - Δ N u = λ u N - 2 u + f ( x , u ) ,             x ∈ Ω , u ∈ W 0 1 , N ( Ω ) ,                 u ( x ) ≥ 0 ,                         x ∈ Ω , where Ω is a bounded domain with smooth boundary in ℝ N (N >2), f (x, u) is of critical growth. Based on the Trudinger-Moser inequality and a nonstandard linking theorem introduced by Degiovanni and Lancelotti, we prove the existence of a nontrivial solution for any λ > λ1, λ≠λℓ (ℓ = 2,3,ċċċ), and λℓ is the eigenvalues of the operator ( - Δ N , W 0 1 , N ( Ω ) ) , which is defined by the ℤ2-cohomological index.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30077-2
       
  • Existence and uniqueness of the weak solution to the incompressible
           Navier-Stokes-Landau-Lifshitz model in 2-dimension
    • Authors: Guangwu WANG; Boling GUO
      Pages: 1361 - 1372
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Guangwu WANG, Boling GUO
      In this paper, we prove the existence and uniqueness of the weak solution to the incompressible Navier-Stokes-Landau-Lifshitz equations in two-dimension with finite energy. The main techniques is the Faedo-Galerkin approximation and weak compactness theory.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30078-4
       
  • Compactness for the commutator of Bochner-Riesz operator
    • Authors: Rui BU; Jiecheng CHEN; Guoen HU
      Pages: 1373 - 1384
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Rui BU, Jiecheng CHEN, Guoen HU
      Let α ∈ ( 0 ,     n - 1 2 ) and T α be the Bochner-Riesz operator of order α. In this paper, for n = 2 and n ≥ 3, the compactness on Lebesgue spaces and Morrey spaces are considered for the commutator of Bochner-Riesz operator generated by CMO(ℝn) function and T α.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30079-6
       
  • Positive steady states of a diffusive predator-prey system with predator
           cannibalism
    • Authors: Biao WANG
      Pages: 1385 - 1398
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Biao WANG
      The purpose of this paper is to investigate positive steady states of a diffusive predator-prey system with predator cannibalism under homogeneous Neumann boundary conditions. With the help of implicit function theorem and energy integral method, non-existence of non-constant positive steady states of the system is obtained, whereas coexistence of non-constant positive steady states is derived from topological degree theory. The results indicate that if dispersal rate of the predator or prey is sufficiently large, there is no non-constant positive steady states. However, under some appropriate hypotheses, if the dispersal rate of the predator is larger than some positive constant, for certain ranges of dispersal rates of the prey, there exists at least one non-constant positive steady state.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30080-2
       
  • Heat kernel estimates on Julia sets
    • Authors: Meng YANG
      Pages: 1399 - 1414
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Meng YANG
      We give heat kernel estimates on Julia sets J(fc ) for quadratic polynomials fc (z)= z 2 + c for c in the main cardioid or the ± 1 k -bulbs where k ≥2. First we use external ray parametrization to construct a regular, strongly local and conservative Dirichlet form on Julia set. Then we show that this Dirichlet form is a resistance form and the corresponding resistance metric induces the same topology as Euclidean metric. Finally, we give heat kernel estimates under the resistance metric.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30081-4
       
  • Classification of positive solutions to a system of Hardy-Sobolev type
           equations
    • Authors: Wei DAI; Zhao LIU
      Pages: 1415 - 1436
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Wei DAI, Zhao LIU
      In this paper, we are concerned with the following Hardy-Sobolev type system (0.1) { ( - Δ ) α 2 u ( x ) = υ q ( x ) y t 2 ( - Δ ) α 2 υ ( x ) = u p ( x ) y t 1 , x = ( y , z ) ∈ ( ℝ k \ { 0 } ) × ℝ n - k , where 0<α<n, 0<t 1,t 2 < min{α,k}, and 1 < p ≤ τ 1 : = n + α - 2 t 1 n - α , 1 < q ≤ τ 2 : = n + α - 2 t 2 n - α . . We first establish the equivalence of classical and weak solutions between PDE system (0.2) { u ( x ) = ∫ ℝ n G α ( x , ξ ) u p ( ξ ) η t 2 d ξ υ ( x ) = ∫ ℝ n G α ( x , ξ ) u p ( ξ ) η t 2 d ξ , where G α ( x , ξ ) = c n , α x - ξ n - α is the Green's function of ( - Δ ) α 2 in ℝn. Then, by the method of moving planes in the integral forms, in the critical case p = τ1 and q = τ2, we prove that each pair of nonnegative solutions(u,v) of (0.1) is radially symmetric and monotone decreasing about the origin in ℝk and some point z 0 in ℝn-k. In the subcritical case
      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30082-6
       
  • General decay for a viscoelastic equation of variable coefficients with a
           time-varying delay in the boundary feedback and acoustic boundary
           conditions
    • Authors: Yamna BOUKHATEM; Benyattou BENABDERRAHMANE
      Pages: 1453 - 1471
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Yamna BOUKHATEM, Benyattou BENABDERRAHMANE
      A variable coefficient viscoelastic equation with a time-varying delay in the boundary feedback and acoustic boundary conditions and nonlinear source term is considered. Under suitable assumptions, general decay results of the energy are established via suitable Lyapunov functionals and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and the elements of the matrix A and the kernel function g.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30084-x
       
  • Multiple positive solutions for a class of semipositone Neumann problems
           with singular φ-laplacian
    • Authors: Ruyun MA; Hongliang GAO
      Pages: 1472 - 1482
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Ruyun MA, Hongliang GAO
      We study the existence of multiple positive solutions for a Neumann problem with singular φ-Laplacian { - ( φ ( u ′ ) ) ′ = λ f ( u ) ,             x ∈ ( 0 , 1 ) , u ′ ( 0 ) = 0 = u ′ ( 1 ) , where λ is a positive parameter, φ ( s ) = s 1 - s 2 , f ∈ C 1 ( [ 0 , ∞ ) , ℝ ) , f ′ ( u ) > 0   for   u > 0 , and for some 0<β<θ such that f(u)<0 for u∈[0,β) (semipositone) and f(u)>0 for u > β. Under some suitable assumptions, we obtain the existence of multiple positive solutions of the above problem by using the quadrature technique. Further, if f ∈ C 2([0,β)∪(β,∞),ℝ), f″(u)≥0 for u ∈[0,β) and f″(u) ≤0 for u ∈(β,∞), then there exist exactly 2n+1 positive solutions for some interval of λ, which is dependent on n and θ. Moreover, We also give some examples to apply our results.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30085-1
       
  • BSDES in games, coupled with the value functions. associated nonlocal
           Bellman-Isaacs equations
    • Authors: Tao HAO; Juan LI
      Pages: 1497 - 1518
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Tao HAO, Juan LI
      We establish a new type of backward stochastic differential equations (BSDEs) connected with stochastic differential games (SDGs), namely, BSDEs strongly coupled with the lower and the upper value functions of SDGs, where the lower and the upper value functions are defined through this BSDE. The existence and the uniqueness theorem and comparison theorem are proved for such equations with the help of an iteration method. We also show that the lower and the upper value functions satisfy the dynamic programming principle. Moreover, we study the associated Hamilton-Jacobi-Bellman-Isaacs (HJB-Isaacs) equations, which are nonlocal, and strongly coupled with the lower and the upper value functions. Using a new method, we characterize the pair (W,U) consisting of the lower and the upper value functions as the unique viscosity solution of our nonlocal HJB-Isaacs equation. Furthermore, the game has a value under the Isaacs' condition.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30087-5
       
  • Local discontinuous Galerkin method for elliptic interface problems
    • Authors: Zhijuan ZHANG; Xijun YU; Yanzhen CHANG
      Pages: 1519 - 1535
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Zhijuan ZHANG, Xijun YU, Yanzhen CHANG
      In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains. The interface may be arbitrary smooth curves. It is shown that the error estimates in L 2-norm for the solution and the flux are O(h 2 logh ) and O(h logh 1/2), respectively. In numerical experiments, the successive substitution iterative methods are used to solve the LDG schemes. Numerical results verify the efficiency and accuracy of the method.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30088-7
       
  • Universal inequalities for a horizontal Laplacian version of the clamped
           plate problem on Carnot group
    • Authors: Feng DU; Chuanxi WU; Guanghan LI; Changyu XIA
      Pages: 1536 - 1544
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng DU, Chuanxi WU, Guanghan LI, Changyu XIA
      In this paper, we investigate a horizontal Laplacian version of the clamped plate problem on Carnot groups and obtain some universal inequalities. Furthermore, for the lower order eigenvalues of this eigenvalue problem on carnot groups, we also give some universal inequalities.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30089-9
       
  • Renormalized solutions of elliptic equations with Robin boundary
           conditions
    • Authors: Olivier GUIBÉ; Alip OROPEZA
      Pages: 889 - 910
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Olivier GUIBÉ, Alip OROPEZA
      In the present paper, we consider elliptic equations with nonlinear and nonhomogeneous Robin boundary conditions of the type { - div ( B ( x , u ) ∇ u ) = f   in   Ω , u = 0   on   Γ o B ( x , u ) ∇ u ⋅ n → + γ ( x ) h ( u ) = g   on   Γ 1 where f and g are the element of L 1 (Ω) and L 1 (Γ1), respectively. We define a notion of renormalized solution and we prove the existence of a solution. Under additional assumptions on the matrix field B we show that the renormalized solution is unique.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30046-2
       
  • Existence of solutions of nonlocal perturbations of dirichlet discrete
           nonlinear problems
    • Authors: Alberto CABADA; Nikolay D. DIMITROV
      Pages: 911 - 926
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Alberto CABADA, Nikolay D. DIMITROV
      This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30047-4
       
  • Dynamical behavior of a stochastic HBV infection model with logistic
           hepatocyte growth
    • Authors: Qun LIU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI
      Pages: 927 - 940
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun LIU, Daqing JIANG, Ningzhong SHI, Tasawar HAYAT, Ahmed ALSAEDI
      This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30048-6
       
  • Stability of a von Karman equation with infinite memory
    • Authors: Sun-Hye PARK
      Pages: 965 - 973
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Sun-Hye PARK
      In this paper, we consider a von Karman equation with infinite memory. For von Karman equations with finite memory, there is a lot of literature concerning on existence of the solutions, decay of the energy, and existence of the attractors. However, there are few results on existence and energy decay rate of the solutions for von Karman equations with infinite memory. The main goal of the present paper is to generalize previous results by treating infinite history instead of finite history.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30051-6
       
  • Blow-up and life span estimates for a class of nonlinear degenerate
           parabolic system with time-dependent coefficients
    • Authors: Anyin XIA; Mingshu FAN; Shan LI
      Pages: 974 - 984
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Anyin XIA, Mingshu FAN, Shan LI
      This paper deals with the singularity and global regularity for a class of nonlinear porous medium system with time-dependent coefficients under homogeneous Dirichlet boundary conditions. First, by comparison principle, some global regularity results are established. Secondly, using some differential inequality technique, we investigate the blow-up solution to the initial-boundary value problem. Furthermore, upper and lower bounds for the maximum blow-up time under some appropriate hypotheses are derived as long as blow-up occurs.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30052-8
       
  • Impulsive differential equations with Gamma distributed moments of
           impulses and p-moment exponential stability
    • Authors: R. AGARWAL; S. HRISTOVA; P. KOPANOV; D. O'Regan
      Pages: 985 - 997
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): R. AGARWAL, S. HRISTOVA, P. KOPANOV, D. O'Regan
      Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30053-x
       
  • Orbital stability of periodic traveling wave solutions to the generalized
           zakharov equations
    • Authors: Xiaoxiao ZHENG; Yadong SHANG; Xiaoming PENG
      Pages: 998 - 1018
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Xiaoxiao ZHENG, Yadong SHANG, Xiaoming PENG
      This paper investigates the orbital stability of periodic traveling wave solutions to the generalized Zakharov equations { i u t + u x x = u v + u 2 u , v t t - v x x = ( u 2 ) x x . First, we prove the existence of a smooth curve of positive traveling wave solutions of dnoidal type with a fixed fundamental period L for the generalized Zakharov equations. Then, by using the classical method proposed by Benjamin, Bona et al., we show that this solution is orbitally stable by perturbations with period L. The results on the orbital stability of periodic traveling wave solutions for the generalized Zakharov equations in this paper can be regarded as a perfect extension of the results of [15, 16, 19].

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30054-1
       
  • Conditional expectations and martingales in noncommutative Lp-spaces
           associated with center-valued traces
    • Authors: Inomjon GANIEV; Farrukh MUKHAMEDOV
      Pages: 1019 - 1032
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Inomjon GANIEV, Farrukh MUKHAMEDOV
      In this paper we prove the existence of conditional expectations in the noncommutative L p (M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative L p (M,Φ)-spaces.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30055-3
       
  • Local regularity criteria of a suitable weak solution to MHD equations
    • Authors: Jae-Myoung KIM
      Pages: 1033 - 1047
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Jae-Myoung KIM
      We present a regularity condition of a suitable weak solution to the MHD equations in three dimensional space with slip boundary conditions for a velocity and magnetic vector fields. More precisely, we prove a suitable weak solution are Hölder continuous near boundary provided that the scaled mixed Lp,q x,t -norm of the velocity vector field with 3/p+2q ≤ 2, 2 < q < ∞ is sufficiently small near the boundary. Also, we will investigate that for this solution u ɛ Lp,q x,t with 1 ≤ 3 p + 2 p ≤ 3 2 , 3 < p < ∞ , the Hausdorff dimension of its singular set is no greater than max {p,q} ( 3 p + 2 p - 1 ) .

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30056-5
       
  • Analysis of an elasto-piezoelectric system of hemivariational inequalities
           with thermal effects
    • Authors: Paweł SZAFRANIEC
      Pages: 1048 - 1060
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Paweł SZAFRANIEC
      In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoelastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact. We use recent results from the theory of hemivariational inequalities and the fixed point theory.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30057-7
       
  • Sharp well-posedness of the cauchy problem for the higher-order dispersive
           equation
    • Authors: Minjie JIANG; Wei YAN; Yimin ZHANG
      Pages: 1061 - 1082
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Minjie JIANG, Wei YAN, Yimin ZHANG
      This current paper is devoted to the Cauchy problem for higher order dispersive equation u t + ∂ x 2 n + 1 u = ∂ x ( u ∂ x n u ) + ∂ x n - 1 ( u x 2 ) ,   n ≥ 2 , n ∈ N + . By using Besov-type spaces, we prove that the associated problem is locally well-posed in H ( - n 2 + 3 4 , - 1 2 n ) ( R ) . The new ingredient is that we establish some new dyadic bilinear estimates. When n is even, we also prove that the associated equation is ill-posed in H ( s , a ) ( R ) with s < - n 2 + 3 4 and all a ∈ R .

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30058-9
       
  • Duality of weighted multiparameter Triebel-Lizorkin spaces
    • Authors: Wei DING; Yueping ZHU
      Pages: 1083 - 1104
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Wei DING, Yueping ZHU
      In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces F ˙ p α , q ( ω ; R n 1 × R n 2 ) based on the Frazier and Jawerth' method in [11]. This space was firstly introduced in [18]. Then we establish its dual space and get that ( F ˙ p α , q ) * = CMO p - α , q ' for 0 < p ≤ 1.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30059-0
       
  • Legendre spectral collocation method for volterra-hammerstein integral
           equation of the second kind
    • Authors: Yunxia WEI; Yanping CHEN
      Pages: 1105 - 1114
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Yunxia WEI, Yanping CHEN
      This paper is concerned with obtaining theapproximate solution for Volterra-Hammerstein integral equation with a regular kernel. We choose the Gauss points associated with the Legendre weight function ω(x)=1 as the collocation points. The Legendre collocation discretization is proposed for Volterra-Hammerstein integral equation. We provide an error analysis which justifies that the errors of approximate solution decay exponentially in L2 norm and L∞ norm. We give two numerical examples in order to illustrate the validity of the proposed Legendre spectral collocation method.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30060-7
       
  • Gevrey regularity with weight for incompressible euler equation in the
           half plane
    • Authors: Feng CHENG; Wei-Xi LI; Chao-Jiang XU
      Pages: 1115 - 1132
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Feng CHENG, Wei-Xi LI, Chao-Jiang XU
      In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted L 2-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30061-9
       
  • Optimality conditions and duality results for nonsmooth vector
           optimization problems with the multiple interval-valued objective function
           
    • Authors: Tadeusz ANTCZAK
      Pages: 1133 - 1150
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Tadeusz ANTCZAK
      In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a (weakly) LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a (weakly) LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval-objective function are convex.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30062-0
       
  • Möbius-toda hierarchy and its integrability
    • Authors: Chuanzhong LI
      Pages: 1151 - 1161
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Chuanzhong LI
      In this paper, we construct a new integrable equation called Möbius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Möbius-Toda equation and a whole integrable Möbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the Möbius-Toda hierarchy are given and this leads to the existence of the tau function.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30063-2
       
  • On the first eigenvalue of the mean finsler-laplacian
    • Authors: Qun HE; Fanqi ZENG; Daxiao ZENG
      Pages: 1162 - 1172
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun HE, Fanqi ZENG, Daxiao ZENG
      In this paper, we prove that several different definitions of the Finsler-Laplacian are equivalent. Then we prove that any Berwald metric is affinely equivalent to its mean metric and give some upper or lower bound estimates for the first eigenvalue of the mean Laplacian on Berwald manifolds, which generalize some results in Riemannian geometry.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30064-4
       
  • Global weak solutions to one-dimensional compressible viscous hydrodynamic
           equations
    • Authors: Boling GUO; Xiaoyu XI
      Pages: 573 - 583
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Boling GUO, Xiaoyu XI
      In this article, we are concerned with the global weak solutions to the 1D compressible viscous hydrodynamic equations with dispersion correction δ2 ρ((φ(ρ))xxφ′(ρ)x with φ(ρ)=ρα. The model consists of viscous stabilizations because of quantum Fokker-Planck operator in the Wigner equation and is supplemented with periodic boundary and initial conditions. The diffusion term ɛuxx in the momentum equation may be interpreted as a classical conservative friction term because of particle interactions. We extend the existence result in [ 1 ] ( α = 1 2 ) to   0 < α ≤ 1. In addition, we perform the limit ɛ→ 0 with respect to 0 < α ≤ ½.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30023-1
       
  • A nonconforming quadrilateral finite element approximation to nonlinear
           schrödinger equation
    • Authors: Dongyang SHI; Xin LIAO; Lele WANG
      Pages: 584 - 592
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Dongyang SHI, Xin LIAO, Lele WANG
      In this article, a nonconforming quadrilateral element (named modified quasi-Wilson element) is applied to solve the nonlinear schrödinger equation (NLSE). On the basis of a special character of this element, that is, its consistency error is of order O(h 3) for broken H 1-norm on arbitrary quadrilateral meshes, which is two order higher than its interpolation error, the optimal order error estimate and superclose property are obtained. Moreover, the global superconvergence result is deduced with the help of interpolation postprocessing technique. Finally, some numerical results are provided to verify the theoretical analysis.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30024-3
       
  • Sign-changing solutions for p-biharmonic equations with Hardy potential in
           ℝN
    • Authors: Ruirui YANG; Wei ZHANG; Xiangqing LIU
      Pages: 593 - 606
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Ruirui YANG, Wei ZHANG, Xiangqing LIU
      In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in ℝN.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30025-5
       
  • Refinements of transformation inequalities for zero-balanced
           hypergeometric functions
    • Authors: Miaokun WANG; Yuming CHU
      Pages: 607 - 622
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Miaokun WANG, Yuming CHU
      In the article, we present some refinements of three classes of transformation inequalities for zero-balanced hypergeometric functions by use of the updated monotonicity criterion for the quotient of power series.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30026-7
       
  • Normal family of meromorphic functions sharing holomorphic functions and
           the converse of the bloch principle
    • Authors: Nguyen Van THIN
      Pages: 623 - 656
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Nguyen Van THIN
      In 1996, C. C. Yang and P. C. Hu [8] showed that: Let f be a transcendental meromorphic function on the complex plane, and a ≠ 0 be a complex number; then assume that n ≥ 2, n 1, …,n k are nonnegative integers such that n 1 + ⋯ + n k ≥ 1 ; thus f n ( f ′ ) n 1 ⋯ ( f ( k ) ) n k − a has infinitely zeros. The aim of this article is to study the value distribution of differential polynomial, which is an extension of the result of Yang and Hu for small function and all zeros of f having multiplicity at least k ≥ 2. Namely, we prove that f n ( f ′ ) n 1 ⋯ ( f ( k ) ) n k − a ( z ) has infinitely zeros, where f is a transcendental meromorphic function on the complex plane whose all zeros have multiplicity at least k ≥ 2, and a(z) ≡ 0 is a small function of f and n ≥ 2, n 1,…,n k are nonnegative integers satisfying n 1+…+ n k ≥ 1. Using it, we establish some normality criterias for a family of meromorphic functions under a condition where differential polynomials generated by the members of the family share a holomorphic function with zero points. The results of this article are supplement of some problems studied by J. Yunbo and G. Zongsheng [6], and extension of some problems studied X. Wu and Y. Xu [10]. The main result of this article also leads to a counterexample to the converse of Bloch's principle.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30027-9
       
  • Self-similar solutions to the hyperbolic mean curvature flow
    • Authors: Chunlei HE; Shoujun HUANG; Xiaomin XING
      Pages: 657 - 667
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Chunlei HE, Shoujun HUANG, Xiaomin XING
      This article concerns the self-similar solutions to the hyperbolic mean curvature flow (HMCF) for plane curves, which is proposed by Kong, Liu, and Wang and relates to an earlier proposal for general flows by LeFloch and Smoczyk. We prove that all curves immersed in the plane which move in a self-similar manner under the HMCF are straight lines and circles. Moreover, it is found that a circle can either expand to a larger one and then converge to a point, or shrink directly and converge to a point, where the curvature approaches to infinity.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30028-0
       
  • Characterization of derivations on B(X) by local actions
    • Authors: Tianjiao XUE; Runling AN; Jinchuan HOU
      Pages: 668 - 678
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Tianjiao XUE, Runling AN, Jinchuan HOU
      Let A be a unital algebra and M be a unital A -bimodule. A linear map δ: A → M is said to be Jordan derivable at a nontrivial idempotent P ∈ A if δ ( A ) ∘ B + A ∘ δ ( B ) = δ ( A ∘ B ) for any A , B ∈ A with A ○ B= P, here A ○ B = AB + BA is the usual Jordan product. In this article, we show that if A = A lg N is a Hilbert space nest algebra and M = B ( H ) , or A = M = B ( X ) , then, a linear map δ   :   A → M is Jordan derivable at a nontrivial projection P ∈ N or an arbitrary but fixed nontrivial idempotent P ∈ B ( X ) if and only if it is a derivation. New equivalent characterization of derivations on these operator algebras was obtained.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30029-2
       
  • Generalized riemann integral on fractal sets
    • Authors: Feng
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng SU
      The theory of integration to mathematical analysis is so important that many mathematicians continue to develop new theory to enlarge the class of integrable functions and simplify the Lebesgue theory integration. In this paper, by slight modifying the definition of the Henstock integral which was introduced by Jaroslav Kurzweil and Ralph Henstock, we present a new definition of integral on fractal sets. Furthermore, its integrability has been discussed, and the relationship between differentiation and integral is also established. As an example, the integral of Cantor function on Cantor set is calculated.

      PubDate: 2017-08-27T16:02:54Z
       
  • Left-right Browder linear relations and Riesz perturbations
    • Authors: Teresa
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Teresa ÁLVAREZ
      A closed linear relation T in a Banach space X is called left (resp. right) Fredholm if it is upper (resp. lower) semiFredholm and its range (resp. null space) is topologically complemented in X. We say that T is left (resp. right) Browder if it is left (resp. right) Fredholm and has a finite ascent (resp. descent). In this paper, we analyze the stability of the left (resp. right) Fredholm and the left (resp. right) Browder linear relations under commuting Riesz operator perturbations. Recent results of Zivkovic et al. to the case of bounded operators are covered.

      PubDate: 2017-08-27T16:02:54Z
       
  • The energy function with respect to the zeros of the exceptional Hermite
           polynomials
    • Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Ágota P. HORVÁTH
      We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case. In some special arrangements we have a more precise result on the behavior of the energy function. Finally we investigate the energy function with respect to the regular zeros of the exceptional Hermite polynomials.

      PubDate: 2017-08-27T16:02:54Z
       
  • On the global existence of smooth solutions to the multi-dimensional
           compressible euler equations with time-depending damping in half space
    • Authors: Fei HOU
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Fei HOU
      This paper is a continue work of [4,5]. In the previous two papers, we studied the Cauchy problem of the multi-dimensional compressible Euler equations with time-depending damping term - μ ( 1 + t ) λ ρ u , where λ≥0 and μ > 0 are constants. We have showed that, for all λ≥0 and μ>0, the smooth solution to the Cauchy problem exists globally or blows up in finite time. In the present paper, instead of the Cauchy problem we consider the initial-boundary value problem in the half space ℝd + with space dimension d = 2,3. With the help of the special structure of the equations and the fluid vorticity, we overcome the difficulty arisen from the boundary effect. We prove that there exists a global smooth solution for 0 ≤ λ <1 when the initial data is close to its equilibrium state. In addition, exponential decay of the fluid vorticity will also be established.

      PubDate: 2017-06-05T12:26:35Z
       
 
 
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