Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 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: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 3)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 16)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 4)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 21)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 7)
Advances in Materials Science     Open Access   (Followers: 23)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 10)
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: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 4)
Algebra and Logic     Hybrid Journal   (Followers: 9)
Algebra Colloquium     Hybrid Journal   (Followers: 3)
Algebra Universalis     Hybrid Journal   (Followers: 3)
Algorithmic Operations Research     Open Access   (Followers: 7)
Algorithms     Open Access   (Followers: 15)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 8)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
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: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
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 Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 5)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 5)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access   (Followers: 1)
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: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 5)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 17)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 7)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 22)
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: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
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: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
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  
British Journal for the History of Mathematics     Hybrid Journal   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
British Journal of Mathematics & Computer Science     Full-text available via subscription   (Followers: 1)
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 3)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
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: 4)
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  
Calculus of Variations and Partial Differential Equations     Hybrid Journal   (Followers: 1)
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 5)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
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: 2)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 5)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 22)
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: 3)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 6)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription   (Followers: 2)
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 5)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 12)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 12)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 11)
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  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
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  
Doklady Akademii Nauk     Open Access  

        1 2 3 4 | Last

Similar Journals
Journal Cover
Analysis and Mathematical Physics
Journal Prestige (SJR): 0.536
Citation Impact (citeScore): 1
Number of Followers: 7  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1664-2368 - ISSN (Online) 1664-235X
Published by Springer-Verlag Homepage  [2467 journals]
  • Ambarzumyan theorem for third order ordinary differential equations with
           discontinuity conditions inside a finite interval

    • Free pre-print version: Loading...

      Abstract: Abstract The Ambarzumyan theorem is studied for third order differential equation with discontinuity conditions inside a finite interval. To deduce this theorem, the estimates of solutions, the counting lemma and estimates of eigenvalues are discussed.
      PubDate: 2023-01-16
       
  • Some results for the inverse of a Bernstein–Schnabl type operator

    • Free pre-print version: Loading...

      Abstract: Abstract We consider a Bernstein–Schnabl operator \(L_n\) which commutes with the derivative and consequently can be represented as a differential operator with constant coefficients. The inverse of \(L_n\) restricted to polynomials is investigated. We obtain Voronovskaja type results for \(L_n^{-1}\) and compare them with the corresponding results for \(L_n\) . A conjecture in this sense is presented.
      PubDate: 2023-01-09
       
  • Eigenvalues of the Laplacian on balls with spherically symmetric metrics

    • Free pre-print version: Loading...

      Abstract: Abstract In this article we will explore Dirichlet Laplace eigenvalues of balls with spherically symmetric metrics. We will compare any Dirichlet Laplace eigenvalue with the corresponding Dirichlet Laplace eigenvalue on balls in Euclidean space with the same radii. As a special case we shall show that the Dirichlet Laplace eigenvalues of balls with small radii on the sphere are smaller than the corresponding eigenvalues of the Euclidean balls with the same radii. The opposite correspondence is true for the Dirichlet Laplace eigenvalues of hyperbolic spaces.
      PubDate: 2023-01-06
       
  • Existence of solutions for a class of heat equations involving the mean
           curvature operator

    • Free pre-print version: Loading...

      Abstract: Abstract The goal of this paper is to show the existence of a bounded variation solution, which is based on the Anzellotti pairing to an evolution problem associated with the minimal surface equations. A key ingredient in the proof is to approximate the parabolic minimal surface problem by a quasilinear parabolic problem involving a parameter \(p>1\) , and then by establishing some energy estimates independent of p, we take the limit as \(p\rightarrow 1^{+}\) to obtain the desired result.
      PubDate: 2023-01-03
       
  • Why bootstrapping for J-holomorphic curves fails in $$C^k$$

    • Free pre-print version: Loading...

      Abstract: Abstract We present a simple example for the failure of the Calderón–Zygmund estimate for the \(\overline{\partial }\) -operator when the Sobolev (k, p)-norms are replaced by the \(C^k\) -norms. This example is discussed in the context of elliptic bootstrapping, Fredholm theory, and the regularity of J-holomorphic curves.
      PubDate: 2023-01-02
       
  • Colesanti type inequalities for affine connections

    • Free pre-print version: Loading...

      Abstract: Abstract By virtue of a Reilly type integral formula associated with affine connections, we obtain a Colesanti type inequality. As an application, the Minkowski type and Heintze–Karcher type inequalities are provided. On the other hand, we also consider eigenvalue problem for Wentzell boundary conditions and achieve some relationships between the first nonzero eigenvalue of Wentzell boundary conditions and the first nonzero eigenvalue of Laplacian acting on functions on the boundary.
      PubDate: 2023-01-02
       
  • Mechanical Hamiltonian systems with respect to linear Poisson structures
           and Jacobi–Reeb dynamics

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we present a relation between Jacobi–Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a linear Poisson structure on a vector bundle. For this purpose, we will use the so-called Jacobi bundle metrics induced by the mechanical Hamiltonian system. These constructions extend classical results on the relation between standard mechanical Hamiltonian systems on cotangent bundles and Reeb dynamics.
      PubDate: 2022-12-20
       
  • Random zero sets for Fock type spaces

    • Free pre-print version: Loading...

      Abstract: Abstract Given a nondecreasing sequence \(\Lambda =\{\lambda _n>0\}\) such that \(\displaystyle \lim _{n\rightarrow \infty } \lambda _n=\infty ,\) we consider the sequence \(\mathcal {N}_\Lambda :=\left\{ \lambda _ne^{i\theta _n},n\in \,\mathbb {N}\right\} \) , where \(\theta _n\) are independent random variables uniformly distributed on \([0,2\pi ].\) We discuss the conditions on the sequence \(\Lambda \) under which \(\mathcal N_\Lambda \) is a zero set (a uniqness set) of a given weighted Fock space almost surely. The critical density of the sequence \(\Lambda \) with respect to the weight is found.
      PubDate: 2022-12-15
       
  • The Dirichlet problem for perturbed Stark operators in the half-line

    • Free pre-print version: Loading...

      Abstract: Abstract We consider the perturbed Stark operator \(H_q\varphi = -\varphi '' + x\varphi + q(x)\varphi \) , \(\varphi (0)=0\) , in \(L^2({\mathbb R}_+)\) , where q is a real function that belongs to \({\mathfrak {A}}_r =\left\{ q\in \mathcal {A}_r\cap \text {AC}[0,\infty ): q'\in \mathcal {A}_r\right\} \) , where \(\mathcal {A}_r = L^2_{\mathbb R}({\mathbb R}_+,(1+x)^r dx)\) and \(r>1\) is arbitrary but fixed. Let \(\left\{ \lambda _n(q)\right\} _{n=1}^\infty \) and \(\left\{ \kappa _n(q)\right\} _{n=1}^ \infty \) be the spectrum and associated set of norming constants of \(H_q\) . Let \(\{a_n\}_{n=1}^\infty \) be the zeros of the Airy function of the first kind, and let \(\omega _r:{\mathbb N}\rightarrow {\mathbb R}\) be defined by the rule \(\omega _r(n) = n^{-1/3}\log ^{1/2}n\) if \(r\in (1,2)\) and \(\omega _r(n) = n^{-1/3}\) if \(r\in [2,\infty )\) . We prove that \(\lambda _n(q) = -a_n + \pi (-a_n)^{-1/2}\int _0^\infty {{\,\textrm{Ai}\,}}^2(x+a_n)q(x)dx + O(n^{-1/3}\omega _r^2(n))\) and \(\kappa _n(q) = - 2\pi (-a_n)^{-1/2}\int _0^\infty {{\,\textrm{Ai}\,}}(x+a_n){{\,\textrm{Ai}\,}}'(x+a_n)q(x)dx + O(\omega _r^3(n))\) , uniformly on bounded subsets of \({\mathfrak {A}}_r\) . In order to obtain these asymptotic formulas, we first show that \(\lambda _n:\mathcal {A}_r\rightarrow {\mathbb R}\) and \(\kappa _n:\mathcal {A}_r\rightarrow {\mathbb R}\) are real analytic maps.
      PubDate: 2022-12-03
       
  • Local and global theory for the three-wave mixing Schrödinger system with
           quadratic interactions on Zoll Manifolds

    • Free pre-print version: Loading...

      Abstract: Abstract Well-posedness issues for the initial value problem (IVP) associated to the three-wave mixing Schrödinger system with quadratic nonlinearities posed on d-dimensional Zoll manifold M with initial data in \(\mathbf {H}^s(M)\) are investigated. New bilinear Strichartz’s type estimates for the interacting evolution groups are obtained considering that the system parameter \(\eta \) be a rational number. As a consequence, bilinear estimates for the interacting nonlinearities are obtained so as to prove the local well-posedness results with initial data in \(\mathbf {H}^s(M)\) whenever \(s>\frac{1}{4}\) if \(d = 2\) and \(s > \frac{d - 2}{2}\) if \(d \ge 3\) . Using some conserved quantities combined with the sharp Gagliardo-Nirenberg inequality the global well-posedness results are also obtained in dimensions \(d = 2, 3\) for initial data with Sobolev regularity \(s \ge 1\) . The present work improves the earlier results for the \(2\times 2\) Schrödinger system in Nogueira and Panthee (J Math Anal Appl 494:124574, 2021) relaxing the restrictions on the system parameter and consequently the local and the global well-posedness results there.
      PubDate: 2022-12-01
       
  • Complex-self-adjointness

    • Free pre-print version: Loading...

      Abstract: Abstract We develop the concept of operators in Hilbert spaces which are similar to their adjoints via antiunitary operators, the latter being not necessarily involutive. We discuss extension theory, refined polar and singular-value decompositions, and antilinear eigenfunction expansions. The study is motivated by physical symmetries in quantum mechanics with non-self-adjoint operators.
      PubDate: 2022-11-29
       
  • Operator estimates for non-periodically perforated domains with Dirichlet
           and nonlinear Robin conditions: vanishing limit

    • Free pre-print version: Loading...

      Abstract: Abstract We consider a general second order linear elliptic equation in a finely perforated domain. The shapes of cavities and their distribution in the domain are arbitrary and non-periodic; they are supposed to satisfy minimal natural geometric conditions. On the boundaries of the cavities we impose either the Dirichlet or a nonlinear Robin condition; the choice of the type of the boundary condition for each cavity is arbitrary. Then we suppose that for some cavities the nonlinear Robin condition is sign-definite in certain sense. Provided such cavities and ones with the Dirichlet condition are distributed rather densely in the domain and the characteristic sizes of the cavities and the minimal distances between the cavities satisfy certain simple condition, we show that a solution to our problem tends to zero as the perforation becomes finer. Our main result are order sharp estimates for the \(L_2\) - and \(W_2^1\) -norms of the solution uniform in the \(L_2\) -norm of the right hand side in the equation.
      PubDate: 2022-11-28
       
  • Local invariants of divergence-free webs

    • Free pre-print version: Loading...

      Abstract: Abstract The objects of our study are webs in the geometry of volume-preserving diffeomorphisms. We introduce two local invariants of divergence-free webs: a differential one, directly related to the curvature of the natural connection of a divergence-free 2-web introduced by Tabachnikov (Diff Geom Appl 3:265-284, 1993), and a geometric one, inspired by the classical notion of planar 3-web holonomy defined by Blaschke and Bol (Geometrie der Gewebe. Grundlehren der mathematischen Wissenschaften, vol. 49. Springer, Berlin, 1938). We show that triviality of either of these invariants characterizes trivial divergence-free web-germs up to equivalence. We also establish some preliminary results regarding the full classification problem, which jointly generalize the theorem of Tabachnikov on normal forms of divergence-free 2-webs. They are used to provide a canonical form and a complete set of invariants of a generic divergence-free web in the planar case. Lastly, the relevance of local triviality conditions and their potential applications in numerical relativity are discussed.
      PubDate: 2022-11-23
       
  • On the Riemann problem in fractal elastic media

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper we study a kind of Riemann problem for the Lamé–Navier system in the plane on a smooth as well as on a fractal closed contour. By using the Kolosov–Muskhelisvili formula, we reduce this problem to a pair of Riemann boundary value problems for analytic functions, and after that we get the necessary and sufficient conditions for the solvability of the problem and obtain explicit formulas for its solution.
      PubDate: 2022-11-21
       
  • Lagrangian extensions of multi-dimensional integrable equations. I. The
           five-dimensional Martínez Alonso–Shabat equation

    • Free pre-print version: Loading...

      Abstract: Abstract We study a Lagrangian extension of the 5d Martínez Alonso–Shabat equation  \(\mathcal {E}\) $$\begin{aligned} u_{yz}=u_{tx}+u_y\,u_{xs}-u_x\,u_{ys} \end{aligned}$$ that coincides with the cotangent equation  \(\mathcal {T}^{*}\mathcal {E}\) to the latter. We describe the Lie algebra structure of its symmetries (which happens to be quite nontrivial and is described in terms of deformations) and construct two families of recursion operators for symmetries. Each family depends on two parameters. We prove that all the operators from the first family are hereditary, but not compatible in the sense of the Nijenhuis bracket. We also construct two new parametric Lax pairs that depend on higher-order derivatives of the unknown functions.
      PubDate: 2022-11-21
       
  • Conformal field theory for annulus SLE: partition functions and
           martingale-observables

    • Free pre-print version: Loading...

      Abstract: Abstract We implement a version of conformal field theory in a doubly connected domain with numerous conformal types to connect it to the theory of annulus SLE of various types, including the standard annulus SLE, the reversible annulus SLE, and the annulus SLE with several force points. This implementation considers the statistical fields generated under the OPE multiplication by the Gaussian free field and its central/background charge modifications with a weighted combination of Dirichlet and excursion-reflected boundary conditions. We derive the Eguchi–Ooguri version of Ward’s equations and Belavin–Polyakov–Zamolodchikov equations for those statistical fields and use them to show that the correlations of fields in the OPE family under the insertion of the one-leg operators are martingale-observables for various annulus SLEs. We find Coulomb gas (Dotsenko–Fateev integral) solutions to the parabolic partial differential equations for partition functions of conformal field theory for the reversible annulus SLE.
      PubDate: 2022-11-19
       
  • On stable harmonic mappings

    • Free pre-print version: Loading...

      Abstract: Abstract Stable harmonic mappings were first introduced and studied by Hernández and Martín (Math Proc Camb Philos Soc 155:343–359, 2013). Continuing research in this direction, we first prove a result on stability of the integral transform of harmonic mappings. Afterwards, we proved that the harmonic convolution \((\varphi +\alpha \overline{\varphi })*f\) is a stable harmonic convex mapping for \( \alpha \le 1\) , where \(\varphi \) is a convex univalent map and f is a stable harmonic convex map. Furthermore, we consider the meromorphic analogs of stable harmonic mappings and establish various interesting results for these new classes of mappings.
      PubDate: 2022-11-14
      DOI: 10.1007/s13324-022-00760-z
       
  • Fischer decompositions for entire functions and the Dirichlet problem for
           parabolas

    • Free pre-print version: Loading...

      Abstract: Abstract Let \(P_{2k}\) be a homogeneous polynomial of degree 2k and assume that there exist \(C>0\) , \(D>0\) and \(\alpha \ge 0\) such that $$\begin{aligned} \left\langle P_{2k}f_{m},f_{m}\right\rangle _{L^2(\mathbb {S}^{d-1})}\ge \frac{1}{C\left( m+D\right) ^{\alpha }}\left\langle f_{m},f_{m}\right\rangle _{\mathbb {S}^{d-1}} \end{aligned}$$ for all homogeneous polynomials \(f_{m}\) of degree m. Assume that \(P_{j}\) for \(j=0, \dots ,\beta <2k\) are homogeneous polynomials of degree j. The main result of the paper states that for any entire function f of order \( \rho <\left( 2k-\beta \right) /\alpha \) there exist entire functions q and h of order bounded by \(\rho \) such that $$\begin{aligned} f=\left( P_{2k}-P_{\beta }- \dots -P_{0}\right) q+h\text { and }\Delta ^k r=0. \end{aligned}$$ This result is used to establish the existence of entire harmonic solutions of the Dirichlet problem for parabola-shaped domains on the plane, with data given by entire functions of order smaller than \(\frac{1}{2}\) .
      PubDate: 2022-11-11
      DOI: 10.1007/s13324-022-00758-7
       
  • Level sets of potential functions bisecting unbounded quadrilaterals

    • Free pre-print version: Loading...

      Abstract: Abstract We study the mixed Dirichlet–Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet / Neumann conditions at opposite pairs of sides are \(\{0,1\}\) and \(\{0,0\},\) resp. The solution to this problem is a harmonic function in the unbounded complement of the polygon known as the potential function of the quadrilateral. We compute the values of the potential function u including its value at infinity. The main result of this paper is Theorem 4.3 which yields a formula for \(u(\infty )\) expressed in terms of the angles of the polygonal given quadrilateral and the well-known special functions. We use two independent numerical methods to illustrate our result. The first method is a Mathematica program and the second one is based on using the MATLAB toolbox PlgCirMap. The case of a quadrilateral, which is the exterior of the unit disc with four fixed points on its boundary, is considered as well.
      PubDate: 2022-11-10
      DOI: 10.1007/s13324-022-00732-3
       
  • Partial Taylor sums on local Dirichlet spaces

    • Free pre-print version: Loading...

      Abstract: Abstract The partial Taylor sums \(S_n\) , \(n \ge 0\) , are finite rank operators on any Banach space of analytic functions on the open unit disc. In the classical setting of disc algebra \({\mathcal {A}}\) , the precise value of \(\Vert S_n\Vert _{{\mathcal {A}} \rightarrow {\mathcal {A}}}\) is not known. These numbers are referred as the Lebesgue constants and they grow like \(\log n\) , modulo a multiplicative constant, when n tends to infinity. In this note, we study \(\Vert S_n\Vert \) when it acts on the local Dirichlet space \({\mathcal {D}}_\zeta \) . There are several distinguished ways to put a norm on \({\mathcal {D}}_\zeta \) and each choice naturally leads to a different operator norm for \(S_n\) , as an operator on \({\mathcal {D}}_\zeta \) . We consider three different norms on \({\mathcal {D}}_\zeta \) and, in each case, evaluate the precise value of \(\Vert S_n\Vert _{{\mathcal {D}}_\zeta \rightarrow {\mathcal {D}}_\zeta }\) . In all cases, we also show that the maximizing function is unique. These formulas indicate that \(\Vert S_n\Vert _{{\mathcal {D}}_\zeta \rightarrow {\mathcal {D}}_\zeta } \asymp \sqrt{n}\) as n grows. Hence, in the light of uniform boundedness principle, there is a function \(f \in {\mathcal {D}}_\zeta \) such that the local sequence \(\Vert S_nf\Vert _{{\mathcal {D}}_{\zeta }}\) , \(n \ge 1\) , is unbounded. We provide two explicit constructions.
      PubDate: 2022-11-07
      DOI: 10.1007/s13324-022-00756-9
       
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
 


Your IP address: 3.239.119.61
 
Home (Search)
API
About JournalTOCs
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-