Subjects -> MATHEMATICS (Total: 1118 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (819 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Accounting Perspectives     Full-text available via subscription   (Followers: 9)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 9)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 13)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 8)
Advances in Complex Systems     Hybrid Journal   (Followers: 12)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 5)
Advances in Fixed Point Theory     Open Access   (Followers: 9)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 22)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 10)
Advances in Materials Science     Open Access   (Followers: 22)
Advances in Mathematical Physics     Open Access   (Followers: 10)
Advances in Mathematics     Full-text available via subscription   (Followers: 22)
Advances in Numerical Analysis     Open Access   (Followers: 8)
Advances in Operations Research     Open Access   (Followers: 14)
Advances in Operator Theory     Hybrid Journal   (Followers: 4)
Advances in Porous Media     Full-text available via subscription   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 11)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 12)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 4)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 8)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 9)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 10)
Analysis Mathematica     Full-text available via subscription  
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access   (Followers: 8)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 4)
Annals of Mathematics     Full-text available via subscription   (Followers: 4)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 6)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 2)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 10)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 13)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 2)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 2)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 6)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 4)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 24)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 4)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 7)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 3)
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 15)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 2)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 23)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 3)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 18)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 11)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 3)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 10)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 11)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access   (Followers: 1)
Contributions to Discrete Mathematics     Open Access   (Followers: 1)
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access   (Followers: 1)
Demographic Research     Open Access   (Followers: 16)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access   (Followers: 3)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 4)

        1 2 3 4 5 | Last

Similar Journals
Journal Cover
Applied Mathematics & Optimization
Journal Prestige (SJR): 0.886
Citation Impact (citeScore): 1
Number of Followers: 13  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1432-0606 - ISSN (Online) 0095-4616
Published by Springer-Verlag Homepage  [2658 journals]
  • A General Stability Result for a Viscoelastic Moore–Gibson–Thompson
           Equation in the Whole Space

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      Abstract: In this paper, we are interested in a viscoelastic Moore–Gibson–Thompson equation with a type-II memory term and a relaxation function satisfying \(g^{\prime }(t)\le -\eta (t)g(t)\) . By constructing appropriate Lyapunov functionals in the Fourier space, we establish a general decay estimate of the solution under the condition \(\left( \beta -\frac{\gamma }{\alpha }-\frac{\varrho }{2}\right) >0.\) We then give the decay rate of the L \(^{2}\) -norm of the solution. We also give two examples to illustrate our theoretical results.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09777-5
       
  • Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic
           Evolution Equations

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      Abstract: This paper is devoted to investigating the Freidlin–Wentzell’s large deviation principle for a class of McKean–Vlasov quasilinear SPDEs perturbed by small multiplicative noise. We adopt the variational framework and the modified weak convergence criteria to prove the Laplace principle for McKean–Vlasov type SPDEs, which is equivalent to the large deviation principle. Moreover, we do not assume any compactness condition of embedding in the Gelfand triple to handle both the cases of bounded and unbounded domains in applications. The main results can be applied to various McKean–Vlasov type SPDEs such as distribution dependent stochastic porous media type equations and stochastic p-Laplace type equations.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09796-2
       
  • Normality, Controllability and Properness in Optimal Control

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      Abstract: In this paper we show that, for optimal control problems involving equality and inequality constraints on the control function, the notions of normality and properness (or the Mangasarian–Fromovitz constraint qualification) of a trajectory relative to the set of constraints are equivalent. This is in contrast with some differences recently obtained between the theories of mathematical programming and optimal control, and it provides an important insight in the derivation of first and second order necessary optimality conditions for infinite dimensional problems.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09765-9
       
  • Exploiting Characteristics in Stationary Action Problems

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      Abstract: Connections between the principle of least action and optimal control are explored with a view to describing the trajectories of energy conserving systems, subject to temporal boundary conditions, as solutions of corresponding systems of characteristics equations on arbitrary time horizons. Motivated by the relaxation of least action to stationary action for longer time horizons, due to loss of convexity of the action functional, a corresponding relaxation of optimal control problems to stationary control problems is considered. In characterizing the attendant stationary controls, corresponding to generalized velocity trajectories, an auxiliary stationary control problem is posed with respect to the characteristic system of interest. Using this auxiliary problem, it is shown that the controls rendering the action functional stationary on arbitrary time horizons have a state feedback representation, via a verification theorem, that is consistent with the optimal control on short time horizons. An example is provided to illustrate application via a simple mass-spring system.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09784-6
       
  • Boussinesq System with Partial Viscous Diffusion or Partial Thermal
           Diffusion Forced by a Random Noise

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      Abstract: We study the Boussinesq system in a two-dimensional domain. In case only the velocity equation is forced by a white-in-time multiplicative noise, we prove the global existence of a martingale solution in the following two cases: positive horizontal viscous diffusion but zero vertical viscous diffusion and zero thermal diffusion; positive horizontal thermal diffusion but zero viscous diffusion and zero vertical thermal diffusion. Finally, in case both velocity and temperature equations are forced by a white-in-time multiplicative noise, and the velocity equation has zero viscous diffusion while the temperature equation has full thermal diffusion, the global existence of a martingale solution was shown in Yamazaki (Stoch Anal Appl, 34:404–426, 2016); in this manuscript we additionally prove significantly higher regularity.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09756-w
       
  • Structural Stability in Resonant Penetrative Convection in a
           Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid

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      Abstract: The resonant penetrative convection in a Brinkman–Forchheimer fluid interfacing with a Darcy fluid is considered. It is our main purpose to study the continuous dependence of the solution on changes in the heat source and the continuous dependence of the solution on the Forchheimer coefficient.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09791-7
       
  • Existence of Ground State Sign-Changing Solutions of Fractional
           Kirchhoff-Type Equation with Critical Growth

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      Abstract: In this paper, we study the following fractional Kirchhoff-type equation $$\begin{aligned}{\left\{ \begin{array}{ll} -(a+ b\int _{{\mathbb {R}}^{N}}\int _{{\mathbb {R}}^{N}} u(x)-u(y) ^{2}K(x-y)dxdy){\mathcal {L}}_{K}u= u ^{2_{\alpha }^{*}-2}u+\mu f(u), ~\ x\in \Omega ,\\ u=0, ~\ x\in {\mathbb {R}}^{N}\backslash \Omega , \end{array}\right. } \end{aligned}$$ where \(\Omega \subset {\mathbb {R}}^{N}\) is a bounded domain with a smooth boundary, \(\alpha \in (0,1)\) , \(2\alpha<N<4\alpha \) , \(2_{\alpha }^{*}\) is the fractional critical Sobolev exponent and \(\mu , a, b>0\) ; \({\mathcal {L}}_{K}\) is non-local integrodifferential operator. Under suitable conditions on f, for \(\mu \) large enough, by using constraint variational method and the quantitative deformation lemma, we obtain a ground state sign-changing (or nodal) solution to this problem, and its energy is strictly larger than twice that of the ground state solutions.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09763-x
       
  • Spectral Stability for the Peridynamic Fractional p-Laplacian

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      Abstract: In this work we analyze the behavior of the spectrum of the peridynamic fractional p-Laplacian, \((-\Delta _p)_{\delta }^{s}\) , under the limit process \(\delta \rightarrow 0^+\) or \(\delta \rightarrow +\infty \) . We prove spectral convergence to the classical p-Laplacian under a suitable scaling as \(\delta \rightarrow 0^+\) and to the fractional p-Laplacian as \(\delta \rightarrow +\infty \) .
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09768-6
       
  • Correction To: Existence Results for Fractional p(x, .)-Laplacian Problem
           Via the Nehari Manifold Approach

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      Abstract: The original version of this article missed to add reference [30] and its citation.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09725-9
       
  • Correction to: Stochastic Maximum Principle Under Probability Distortion

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      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09795-3
       
  • Correction to: Convergence Analysis of a Crank–Nicolson Galerkin Method
           for an Inverse Source Problem for Parabolic Equations with Boundary
           Observations

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      Abstract: The original version of this article unfortunately contained a mistake in one of the co-author’s name.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09717-9
       
  • Correction to: Optimal Control of a Phase Field System Modelling Tumor
           Growth with Chemotaxis and Singular Potentials

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      Abstract: A Correction to this paper has been published: https://doi.org/10.1007/s00245-019-09618-6
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09771-x
       
  • Correction to: On Nonlocal Variational and Quasi-Variational Inequalities
           with Fractional Gradient

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      Abstract: A Correction to this paper has been published: https://doi.org/10.1007/s00245-019-09610-0
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09760-0
       
  • Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear
           Hilfer Fractional Evolution Inclusions

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      Abstract: This article studies sensitivity properties of optimal control problems that are governed by nonlinear Hilfer fractional evolution inclusions (NHFEIs) in Hilbert spaces, where the initial state \(\xi \) is not the classical Cauchy, but is the Riemann–Liouville integral. First, we obtain the nonemptiness and the compactness properties of mild solution sets \(\mathbb {S}(\xi )\) for NHFEIs, and also establish an extension Filippov’s theorem. Then we obtain the continuity and upper semicontinuity of optimal control problems connected with NHFEIs depending on a initial state \(\xi \) as well as a parameter \(\lambda \) . Finally, An illustrating example is given.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09739-3
       
  • Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with
           Nonlinear Locally Distributed Damping

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      Abstract: In this article, we consider the wave equation on hyperbolic spaces \(\mathbb {H}^n(n\ge 2)\) with nonlinear locally distributed damping as follow: 1 $$\begin{aligned} {\left\{ \begin{array}{ll}u_{tt}-\Delta _g u+a(x)g(u_t)=0\qquad (x,t)\in \mathbb {H}^n\times (0,+\infty ), \\ u(x,0)=u_0(x),\quad u_0(x,0)=u_1(x)\qquad x\in \mathbb {H}^n. \end{array}\right. } \end{aligned}$$ It is well-known that the energy of the system (1) is of polynomial decay in the Euclidean space. However, on hyperbolic spaces, owing to the following inequality 2 $$\begin{aligned} \int _{\mathbb {H}^n} u^2 dx_g \le C \int _{\mathbb {H}^n} \nabla _g u _g^2dx_g , \quad for \quad u\in H^1(\mathbb {H}^n), \end{aligned}$$ we prove the exponential stabilization of the wave equation by multiplier methods and compactness-uniqueness arguments.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09751-1
       
  • About Symmetry in Partially Hinged Composite Plates

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      Abstract: We consider a partially hinged composite plate problem and we investigate qualitative properties, e.g. symmetry and monotonicity, of the eigenfunction corresponding to the density minimizing the first eigenvalue. The analysis is performed by showing related properties of the Green function of the operator and by applying polarization with respect to a fixed plane. As a by-product of the study, we obtain a Hopf type boundary lemma for the operator having its own theoretical interest. The statements are complemented by numerical results.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09722-y
       
  • Some Inequalities Involving Perimeter and Torsional Rigidity

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      Abstract: We consider shape functionals of the form \(F_q(\Omega )=P(\Omega )T^q(\Omega )\) on the class of open sets of prescribed Lebesgue measure. Here \(q>0\) is fixed, \(P(\Omega )\) denotes the perimeter of \(\Omega \) and \(T(\Omega )\) is the torsional rigidity of \(\Omega \) . The minimization and maximization of \(F_q(\Omega )\) is considered on various classes of admissible domains \(\Omega \) : in the class \(\mathcal {A}_{all}\) of all domains, in the class \(\mathcal {A}_{convex}\) of convex domains, and in the class \(\mathcal {A}_{thin}\) of thin domains.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09727-7
       
  • (p, q)-Equations with Singular and Concave Convex Nonlinearities

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      Abstract: We consider a nonlinear Dirichlet problem driven by the (p, q)-Laplacian with \(1<q<p\) . The reaction is parametric and exhibits the competing effects of a singular term and of concave and convex nonlinearities. We are looking for positive solutions and prove a bifurcation-type theorem describing in a precise way the set of positive solutions as the parameter varies. Moreover, we show the existence of a minimal positive solution and we study it as a function of the parameter.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09720-0
       
  • On the Exponential Stability of Stochastic Perturbed Singular Systems in
           Mean Square

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      Abstract: The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the initial conditions are consistent. The uniform exponential stability in mean square and the practical uniform exponential stability in mean square of solutions of stochastic perturbed singular systems based on Lyapunov techniques are investigated. Moreover, we study the problem of stability and stabilization of some classes of stochastic singular systems. Finally, an illustrative example is given to illustrate the effectiveness of the proposed results.
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-020-09734-8
       
  • Existence and Continuity of Inertial Manifolds for the Hyperbolic
           Relaxation of the Viscous Cahn–Hilliard Equation

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      Abstract: We consider the hyperbolic relaxation of the viscous Cahn–Hilliard equation 0.1 $$\begin{aligned} \varepsilon \phi _{tt}+ \phi _t-\Delta (\delta \phi _t-\Delta \phi + g(\phi ))=0, \end{aligned}$$ in a bounded domain of \({\mathbb R}^d\) with smooth boundary when subject to Neumann boundary conditions, and on rectangular domains when subject to periodic boundary conditions. The space dimension is \(d=1,\) 2 or 3, but it is required \(\delta =\varepsilon =0\) when \(d=2\) or 3; \(\delta \) being the viscosity parameter. The constant \(\varepsilon \in (0,1]\) is a relaxation parameter, \(\phi \) is the order parameter and \(g:{\mathbb R}\rightarrow {\mathbb R}\) is a nonlinear function. This equation models the early stages of spinodal decomposition in certain glasses. Assuming that \(\varepsilon \) is dominated from above by \(\delta \) when \(d=2\) or 3, we construct a family of exponential attractors for Eq. (0.1) which converges as \((\varepsilon ,\delta )\) goes to \((0,\delta _0),\) for any \(\delta _0\in [0,1],\) with respect to a metric that depends only on \(\varepsilon \) , improving previous results where this metric also depends on \(\delta \) . Then we introduce two change of variables and corresponding problems, in the case of rectangular domains and \(d=1\) or 2 only. First, we set \(\tilde{\phi }(t)=\phi (\sqrt{\varepsilon } t)\) and we rewrite Eq. (0.1) in the variables \((\tilde{\phi },\tilde{\phi }_t).\) We show that there exist an integer n, independent of both \(\varepsilon \) and \(\delta \) , a value \(0<\tilde{\varepsilon }_0(n)\le 1\) and an inertial manifold of dimension n, for either \(\varepsilon \in (0,\tilde{\varepsilon }_0]\) and \(\delta =2\sqrt{\varepsilon }\) or \(\varepsilon \in (0,\tilde{\varepsilon }_0]\) and \(\delta \in [0,3\varepsilon ]\) . Then, we prove the e...
      PubDate: 2021-12-01
      DOI: 10.1007/s00245-021-09749-9
       
 
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