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  Subjects -> MATHEMATICS (Total: 966 journals)
    - APPLIED MATHEMATICS (82 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (711 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (88 journals)

MATHEMATICS (711 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
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: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, 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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
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  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
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: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
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: 1)
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: 12)
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: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
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: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)

        1 2 3 4 | Last

Journal Cover
Analysis and Mathematical Physics
Journal Prestige (SJR): 0.536
Citation Impact (citeScore): 1
Number of Followers: 5  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1664-2368 - ISSN (Online) 1664-235X
Published by Springer-Verlag Homepage  [2350 journals]
  • Erratum to: Solution of the equations for one-dimensional, two-phase,
           immiscible flow by geometric methods
    • Authors: Ivan Boronin; Andrey Shevlyakov
      Pages: 9 - 9
      PubDate: 2018-03-01
      DOI: 10.1007/s13324-017-0167-7
      Issue No: Vol. 8, No. 1 (2018)
       
  • Dima Khavinson’s 60th: a summary of open problems in analysis and
           mathematical physics
    • Authors: Erik Lundberg; Razvan Teodorescu
      PubDate: 2018-06-09
      DOI: 10.1007/s13324-018-0232-x
       
  • Dima Khavinson’s 60th: A conference on complex functions, operators,
           partial differential equations, and applications in mathematical physics
    • PubDate: 2018-05-30
      DOI: 10.1007/s13324-018-0236-6
       
  • Boundary effect of m -dimensional Bakry-Émery Ricci curvature
    • Abstract: We consider how m-dimensional Bakry-Émery Ricci curvature affects the geometry of the boundary \(\partial M\) . By using the Reilly’s formula with respect to f-Laplacian, geometric inequalities involving f-mean curvature are obtained. Furthermore, we also achieve the relationship between f-mean curvature of the boundary submanifold and the mean curvature of submanifold \(x:\partial M\rightarrow \mathbb {R}^N(c)\) into space form \(\mathbb {R}^N(c)\) .
      PubDate: 2018-05-30
      DOI: 10.1007/s13324-018-0237-5
       
  • Incompleteness of resonance states for quantum ring with two semi-infinite
           edges
    • Authors: Dmitrii Gerasimov; Igor Popov; Irina Blinova; Anton Popov
      Abstract: In this paper we investigate scattering problem for a quantum graph (a ring), connected with two semi-infinite leads via a Dirac delta function at boundary. We prove incompleteness of the system of resonance states in \(L_2\) on finite subgraph for the Kirchhoff coupling condition at the vertex and discuss a relation with the factorization of the characteristic function in Sz-Nagy functional model. The sensitivity of the incompleteness property to variation of the operator or the graph structure is considered. The cases of the Landau and the Dirac operators at the graph edges demonstrate the same completeness/incompleteness property as the Schrödinger case. At the same time, small variation of the graph structure restores the completeness property.
      PubDate: 2018-05-23
      DOI: 10.1007/s13324-018-0233-9
       
  • Existence of solution for a general fractional advection–dispersion
           equation
    • Authors: César E. Torres Ledesma
      Abstract: In this work, we consider the existence of solution to the following fractional advection–dispersion equation 0.1 $$\begin{aligned} -\frac{d}{dt} \left( p {_{-\infty }}I_{t}^{\beta }(u'(t)) + q\; {_{t}}I_{\infty }^{\beta }(u'(t))\right) + b(t)u = f(t, u(t)),\;\;t\in \mathbb {R}\end{aligned}$$ where \(\beta \in (0,1)\) , \(_{-\infty }I_{t}^{\beta }\) and \(_{t}I_{\infty }^{\beta }\) denote left and right Liouville–Weyl fractional integrals of order \(\beta \) respectively, \(0<p=1-q<1\) , \(f:\mathbb {R}\times \mathbb {R} \rightarrow \mathbb {R}\) and \(b:\mathbb {R} \rightarrow \mathbb {R}^{+}\) are continuous functions. Due to the general assumption on the constant p and q, the problem (0.1) does not have a variational structure. Despite that, here we study it performing variational methods, combining with an iterative technique, and give an existence criteria of solution for the problem (0.1) under suitable assumptions.
      PubDate: 2018-05-22
      DOI: 10.1007/s13324-018-0234-8
       
  • A $$\texttt {p}(\cdot )$$ p ( · ) -Poincaré-type inequality for variable
           exponent Sobolev spaces with zero boundary values in Carnot groups
    • Authors: Thomas Bieske; Robert D. Freeman
      Abstract: We prove a \(\texttt {p}(\cdot )\) -Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups. We then establish the existence and uniqueness (up to a set of zero \(\texttt {p}(\cdot )\) -capacity) of a minimizer to the Dirichlet energy integral for the variable exponent case.
      PubDate: 2018-05-22
      DOI: 10.1007/s13324-018-0235-7
       
  • Approximation by trigonometric polynomials in variable exponent Morrey
           spaces
    • Authors: Vagif S. Guliyev; Arash Ghorbanalizadeh; Yoshihiro Sawano
      Abstract: We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space \({{\mathcal {M}}}^{p(\cdot ),\lambda (\cdot )}\) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the modulus of smoothness and the Bernstein type inequality for trigonometric polynomials.
      PubDate: 2018-05-12
      DOI: 10.1007/s13324-018-0231-y
       
  • Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for
           Jain–Durrmeyer operators of blending type
    • Authors: Arun Kajla; Sheetal Deshwal; P. N. Agrawal
      Abstract: In the present paper we introduce a Durrmeyer variant of Jain operators based on a function \(\rho (x)\) where \(\rho \) is a continuously differentiable function on \([0,\infty ),~\rho (0)=0\) and \(\inf \rho ^{'}(x)\ge \)  a, \(\text{ a }>0,~\text{ x }\in [0,\infty )\) . For these new operators, some indispensable auxiliary results are established first. Then, the degree of approximation with the aid of Ditzian–Totik modulus of smoothness and the rate of convergence for functions whose derivatives are of bounded variation, is obtained. Further, we focus on the study of a Voronovskaja type asymptotic theorem, quantitative Voronovskaya and Grüss-Voronovskaya type theorems.
      PubDate: 2018-05-05
      DOI: 10.1007/s13324-018-0229-5
       
  • Sharp pointwise gradient estimates for Riesz potentials with a bounded
           density
    • Authors: Vladimir G. Tkachev
      Abstract: We establish sharp inequalities for the Riesz potential and its gradient in \(\mathbb {R}^{n}\) and indicate their usefulness for potential analysis, moment theory and other applications.
      PubDate: 2018-04-28
      DOI: 10.1007/s13324-018-0230-z
       
  • Uniform gradient estimates on manifolds with a boundary and applications
    • Authors: Li-Juan Cheng; Anton Thalmaier; James Thompson
      Abstract: We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperimetric inequalities, using Ledoux’s argument, and uniform quantitative gradient estimates, firstly for \(C^2_b\) functions with boundary conditions and then for the unit spectral projection operators of Dirichlet and Neumann Laplacians.
      PubDate: 2018-04-24
      DOI: 10.1007/s13324-018-0228-6
       
  • Berezin-Toeplitz quantization and naturally defined star products for
           Kähler manifolds
    • Authors: Martin Schlichenmaier
      Abstract: For compact quantizable Kähler manifolds the Berezin-Toeplitz quantization schemes, both operator and deformation quantization (star product) are reviewed. The treatment includes Berezin’s covariant symbols and the Berezin transform. The general compact quantizable case was done by Bordemann–Meinrenken–Schlichenmaier, Schlichenmaier, and Karabegov–Schlichenmaier. For star products on Kähler manifolds, separation of variables, or equivalently star product of (anti-) Wick type, is a crucial property. As canonically defined star products the Berezin-Toeplitz, Berezin, and the geometric quantization are treated. It turns out that all three are equivalent, but different.
      PubDate: 2018-04-12
      DOI: 10.1007/s13324-018-0225-9
       
  • On moments of a polytope
    • Authors: Nick Gravin; Dmitrii V. Pasechnik; Boris Shapiro; Michael Shapiro
      Abstract: We show that the multivariate generating function of appropriately normalized moments of a measure with homogeneous polynomial density supported on a compact polytope \(\mathcal {P}\subset \mathbb {R}^d\) is a rational function. Its denominator is the product of linear forms dual to the vertices of \(\mathcal {P}\) raised to the power equal to the degree of the density function. Using this, we solve the inverse moment problem for the set of, not necessarily convex, polytopes having a given set S of vertices. Under a weak non-degeneracy assumption we also show that the uniform measure supported on any such polytope is a linear combination of uniform measures supported on simplices with vertices in S.
      PubDate: 2018-04-12
      DOI: 10.1007/s13324-018-0226-8
       
  • On differences of linear positive operators
    • Authors: Ali Aral; Daniela Inoan; Ioan Raşa
      Abstract: In this paper we consider two different general linear positive operators defined on unbounded interval and obtain estimates for the differences of these operators in quantitative form. Our estimates involve an appropriate K-functional and a weighted modulus of smoothness. Similar estimates are obtained for Chebyshev functional of these operators as well. All considerations are based on rearrangement of the remainder in Taylor’s formula. The obtained results are applied for some well known linear positive operators.
      PubDate: 2018-04-12
      DOI: 10.1007/s13324-018-0227-7
       
  • Correction to: Evolution of states in a continuum migration model
    • Authors: Yuri Kondratiev; Yuri Kozitsky
      Abstract: We correct an estimate stated in Lemma 4.1 of our work in this journal. The correction implies that Theorem 2.5 is proved except for the point-wise boundedness of the first two correlation functions.
      PubDate: 2018-04-10
      DOI: 10.1007/s13324-018-0224-x
       
  • The Fourier transforms for the spatially homogeneous Boltzmann equation
           and Landau equation
    • Authors: Fei Meng; Fang Liu
      Abstract: In this paper, we study the Fourier transforms for two equations arising in the kinetic theory. The first equation is the spatially homogeneous Boltzmann equation. The Fourier transform of the spatially homogeneous Boltzmann equation has been first addressed by Bobylev (Sov Sci Rev C Math Phys 7:111–233, 1988) in the Maxwellian case. Alexandre et al. (Arch Ration Mech Anal 152(4):327–355, 2000) investigated the Fourier transform of the gain operator for the Boltzmann operator in the cut-off case. Recently, the Fourier transform of the Boltzmann equation is extended to hard or soft potential with cut-off by Kirsch and Rjasanow (J Stat Phys 129:483–492, 2007). We shall first establish the relation between the results in Alexandre et al.  (2000) and Kirsch and Rjasanow (2007) for the Fourier transform of the Boltzmann operator in the cut-off case. Then we give the Fourier transform of the spatially homogeneous Boltzmann equation in the non cut-off case. It is shown that our results cover previous works (Bobylev 1988; Kirsch and Rjasanow 2007). The second equation is the spatially homogeneous Landau equation, which can be obtained as a limit of the Boltzmann equation when grazing collisions prevail. Following the method in Kirsch and Rjasanow (2007), we can also derive the Fourier transform for Landau equation.
      PubDate: 2018-03-22
      DOI: 10.1007/s13324-018-0223-y
       
  • On the zeros of random harmonic polynomials: the Weyl model
    • Authors: Andrew Thomack; Zachariah Tyree
      Abstract: Li and Wei (Proc Am Math Soc 137:195–204, 2009) studied the density of zeros of Gaussian harmonic polynomials with independent Gaussian coefficients. They derived a formula for the expected number of zeros of random harmonic polynomials as well as asymptotics for the case that the polynomials are drawn from the Kostlan ensemble. In this paper we extend their work to cover the case that the polynomials are drawn from the Weyl ensemble by deriving asymptotics for this class of harmonic polynomials.
      PubDate: 2018-03-16
      DOI: 10.1007/s13324-018-0220-1
       
  • On the number of eigenvalues of the discrete one-dimensional Dirac
           operator with a complex potential
    • Authors: Artem Hulko
      Abstract: In this paper we define a one-dimensional discrete Dirac operator on \({\mathbb {Z}}\) . We study the eigenvalues of the Dirac operator with a complex potential. We obtain bounds on the total number of eigenvalues in the case where V decays exponentially at infinity. We also estimate the number of eigenvalues for the discrete Schrödinger operator with complex potential on \({\mathbb {Z}}\) . That is we extend the result obtained by Hulko (Bull Math Sci, to appear) to the whole \({\mathbb {Z}}\) .
      PubDate: 2018-03-06
      DOI: 10.1007/s13324-018-0222-z
       
  • Inverse problems for second order integral and integro-differential
           operators
    • Authors: Sergey Buterin; Vjacheslav Yurko
      Abstract: Inverse spectral problems are studied for second order integral and integro-differential operators. Uniqueness results are obtained, and algorithms for the solutions are provided along with necessary and sufficient conditions for the solvability of these nonlinear inverse problems.
      PubDate: 2018-03-03
      DOI: 10.1007/s13324-018-0217-9
       
  • Notes on the boundaries of quadrature domains
    • Authors: Kaushal Verma
      Abstract: We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Exploiting this connection provides a new framework to recover several basic properties of such domains, namely the algebraicity of their boundary, a better understanding of the associated defining polynomial and the possible boundary singularities that can occur.
      PubDate: 2018-03-02
      DOI: 10.1007/s13324-018-0221-0
       
 
 
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