Subjects -> MATHEMATICS (Total: 1074 journals)
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MATHEMATICS (793 journals)                  1 2 3 4 | 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: 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: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 39)
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: 12)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 8)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 19)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 11)
Advances in Materials Science     Open Access   (Followers: 19)
Advances in Mathematical Physics     Open Access   (Followers: 8)
Advances in Mathematics     Full-text available via subscription   (Followers: 17)
Advances in Nonlinear Analysis     Open Access   (Followers: 1)
Advances in Numerical Analysis     Open Access   (Followers: 9)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 10)
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 9)
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: 3)
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: 5)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 12)
Algorithms Research     Open Access   (Followers: 1)
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  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 11)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 6)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 5)
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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 13)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 7)
Annals of Mathematics     Full-text available via subscription   (Followers: 2)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 14)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
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  
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: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
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: 5)
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: 3)
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: 25)
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   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
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: 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)
Basin Research     Hybrid Journal   (Followers: 5)
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: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 13)
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: 2)
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: 1)
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: 22)
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: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access  
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   (Followers: 1)
Clean Air Journal     Full-text available via subscription   (Followers: 1)
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: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
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: 4)
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: 9)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
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: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 9)
Computational Mechanics     Hybrid Journal   (Followers: 5)
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: 11)
Concrete Operators     Open Access   (Followers: 4)
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: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 15)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 31)
Desimal : Jurnal Matematika     Open Access   (Followers: 1)
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 | Last

Similar Journals
Journal Cover
Analysis and Mathematical Physics
Journal Prestige (SJR): 0.536
Citation Impact (citeScore): 1
Number of Followers: 6  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1664-2368 - ISSN (Online) 1664-235X
Published by Springer-Verlag Homepage  [2570 journals]
  • Complex symmetric evolution equations
    • Abstract: We study certain dynamical systems which leave invariant an indefinite quadratic form via semigroups or evolution families of complex symmetric Hilbert space operators. In the setting of bounded operators we show that a \(\mathcal {C}\)-selfadjoint operator generates a contraction \(C_0\)-semigroup if and only if it is dissipative. In addition, we examine the abstract Cauchy problem for nonautonomous linear differential equations possessing a complex symmetry. In the unbounded operator framework we isolate the class of complex symmetric, unbounded semigroups and investigate Stone-type theorems adapted to them. On Fock space realization, we characterize all \(\mathcal {C}\)-selfadjoint, unbounded weighted composition semigroups. As a byproduct we prove that the generator of a \(\mathcal {C}\)-selfadjoint, unbounded semigroup is not necessarily \(\mathcal {C}\)-selfadjoint.
      PubDate: 2020-02-21
       
  • Some rigidity characterizations on critical metrics for quadratic
           curvature functionals
    • Abstract: Abstract We study closed n-dimensional manifolds of which the metrics are critical for quadratic curvature functionals involving the Ricci curvature, the scalar curvature and the Riemannian curvature tensor on the space of Riemannian metrics with unit volume. Under some additional integral conditions, we classify such manifolds. Moreover, under some curvature conditions, the result that a critical metric must be Einstein is proved.
      PubDate: 2020-02-05
       
  • Fractal-type sets in the four-dimensional space using bicomplex and
           hyperbolic numbers
    • Abstract: Abstract In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of hyperbolic numbers. We recall some properties of the hyperbolic geometrical objects that were defined in previous papers. With the help of these notions some fractal-type sets in the four dimensional space are constructed.
      PubDate: 2020-02-05
       
  • Subordination and superordination preserving properties for families of
           integral operators for meromorphic functions
    • Abstract: Abstract In this paper we obtain subordination, superordination, and sandwich-type results related to certain family of integral operators defined on the space of meromorphic functions in the open unit disk. Also, an application of the subordination and superordination theorems to the Gauss hypergeometric function are considered, and the main new results generalize some previously well-known sandwich-type theorems.
      PubDate: 2020-01-21
       
  • The hyperbolic Ernst equation in a triangular domain
    • Abstract: Abstract The collision of two plane gravitational waves in Einstein’s theory of relativity can be described mathematically by a Goursat problem for the hyperbolic Ernst equation in a triangular domain. We use the integrable structure of the Ernst equation to present the solution of this problem via the solution of a Riemann–Hilbert problem. The formulation of the Riemann–Hilbert problem involves only the prescribed boundary data, thus the solution is as effective as the solution of a pure initial value problem via the inverse scattering transform. Our results are valid also for boundary data whose derivatives are unbounded at the triangle’s corners—this level of generality is crucial for the application to colliding gravitational waves. Remarkably, for data with a singular behavior of the form relevant for gravitational waves, it turns out that the singular integral operator underlying the Riemann–Hilbert formalism can be explicitly inverted at the boundary. In this way, we are able to show exactly how the behavior of the given data at the origin transfers into a singular behavior of the solution near the boundary.
      PubDate: 2020-01-05
       
  • Reflection positivity on spheres
    • Abstract: Abstract In this article we specialize a construction of a reflection positive Hilbert space due to Dimock and Jaffe–Ritter to the sphere \({{\mathbb {S}}}^n\). We determine the resulting Osterwalder–Schrader Hilbert space, a construction that can be viewed as the step from euclidean to relativistic quantum field theory. We show that this process gives rise to an irreducible unitary spherical representation of the orthochronous Lorentz group \(G^c = \mathop {{\mathrm{O}}{}}\nolimits _{1,n}({{\mathbb {R}}})^{\uparrow }\) and that the representations thus obtained are the irreducible unitary spherical representations of this group. A key tool is a certain complex domain \(\Xi \), known as the crown of the hyperboloid, containing a half-sphere \({{\mathbb {S}}}^n_+\) and the hyperboloid \({{\mathbb {H}}}^n\) as totally real submanifolds. This domain provides a bridge between those two manifolds when we study unitary representations of \(G^c\) in spaces of holomorphic functions on \(\Xi \). We connect this analysis with the boundary components which are the de Sitter space and a bundle over the space of future pointing lightlike vectors.
      PubDate: 2020-01-03
       
  • Semigroups of holomorphic functions and condenser capacity
    • Abstract: Abstract Suppose \(\left( \phi _t \right) _{t \ge 0}\) is a semigroup of holomorphic functions in the unit disk \(\mathbb {D}\) with Denjoy–Wolff point \(\tau =1\). Suppose K is a compact subset of \(\mathbb {D}\). We prove that the capacity of the condenser \((\mathbb {D}, \phi _t(K) )\) is a decreasing function of t. Moreover, we study its asymptotic behavior as \(t \rightarrow + \infty \) in relation with the type of the semigroup.
      PubDate: 2020-01-03
       
  • On a quasilinear Poisson equation in the plane
    • Abstract: Abstract We study the Dirichlet problem for the quasilinear partial differential equation \(\triangle u(z) = h(z)\cdot f(u(z))\) in the unit disk \({\mathbb {D}}\subset {\mathbb {C}}\) with arbitrary continuous boundary data \(\varphi :\partial {\mathbb {D}}\rightarrow {\mathbb {R}}\). The multiplier \(h:{\mathbb {D}}\rightarrow {\mathbb {R}}\) is assumed to be in the class \(L^p({\mathbb {D}}),\)\(p>1,\) and the continuous function \(f:\mathbb {R}\rightarrow {\mathbb {R}}\) is such that \(f(t)/t\rightarrow 0\) as \(t\rightarrow \infty .\) Applying the potential theory and the Leray–Schauder approach, we prove the existence of continuous solutions u of the problem in the Sobolev class \(W^{2,p}_{\mathrm{loc}}({\mathbb {D}})\). Furthermore, we show that \(u\in C^{1,\alpha }_{\mathrm{loc}}({\mathbb {D}})\) with \(\alpha = (p-2)/p\) if \(p>2\) and, in particular, with arbitrary \(\alpha \in (0,1)\) if the multiplier h is essentially bounded. In the latter case, if in addition \(\varphi \) is Hölder continuous of some order \(\beta \in (0,1)\), then u is Hölder continuous of the same order in \(\overline{{\mathbb {D}}}\). We extend these results to arbitrary smooth (\(C^1\)) domains.
      PubDate: 2020-01-01
       
  • g -Loewner chains, Bloch functions and extension operators in complex
           Banach spaces
    • Abstract: Abstract Let Y be a complex Banach space and let \(r\ge 1\). In this paper, we are concerned with an extension operator \(\varPhi _{\alpha , \beta }\) that provides a way of extending a locally univalent function f on the unit disc \(\mathbb {U}\) to a locally biholomorphic mapping \(F\in H(\varOmega _r)\), where \(\varOmega _r=\{(z_1,w)\in \mathbb {C}\times Y: z_1 ^2+\Vert w\Vert _Y^r<1\}\). We prove that if f can be embedded as the first element of a g-Loewner chain on \(\mathbb {U}\), where g is a convex (univalent) function on \(\mathbb {U}\) such that \(g(0)=1\) and \(\mathfrak {R}g(\zeta )>0\), \(\zeta \in \mathbb {U}\), then \(F =\varPhi _{\alpha , \beta }(f)\) can be embedded as the first element of a g-Loewner chain on \(\varOmega _r\), for \(\alpha \in [0, 1]\), \(\beta \in [0, 1/r]\), \(\alpha +\beta \le 1\). We also show that normalized univalent Bloch functions on \(\mathbb {U}\) (resp. normalized uniformly locally univalent Bloch functions on \(\mathbb {U}\)) are extended to Bloch mappings on \(\varOmega _r\) by \(\varPhi _{\alpha ,\beta }\), for \(\alpha >0\) and \(\beta \in [0,1/r)\) (resp. for \(\alpha =0\) and \(\beta \in [0,1/r]\)). In the case of the Muir type extension operator \(\varPhi _{P_k}\), where \(k\ge 2\) is an integer and \(P_k:Y\rightarrow \mathbb {C}\) is a homogeneous polynomial mapping of degree k with \(\Vert P_k\Vert \le d(1,\partial g(\mathbb {U}))/4\), we prove a similar extension result for the first elements of g-Loewner chains on \(\varOmega _k\). Next, we consider a modification of the Muir type extension operator \(\varPhi _{G,k}\), where \(k\ge 2\) is an integer and \(G:Y\rightarrow \mathbb {C}\) is a holomorphic function such that \(G(0)=0\) and
      PubDate: 2020-01-01
       
  • Pseudo-contractions, rigidity, fixed points and related questions
    • Abstract: Abstract The class of holomorphic self-mappings of the open unit disk (which are contractions with respect to the Poincaré metric) admits a natural extension to the class of holomorphic pseudo-contractions. In this paper, we study various inequalities involving the values of derivatives of holomorphic pseudo-contractions at fixed points (particularly, at the Denjoy–Wolff fixed point).
      PubDate: 2020-01-01
       
  • $$C^{1,\alpha }$$C1,α -subelliptic regularity on
           $${{\,\mathrm{SU}\,}}(3)$$SU(3) and compact, semi-simple Lie groups
    • Abstract: Abstract Let the vector fields \(X_1, \ldots , X_{6}\) form an orthonormal basis of \(\mathcal {H}\), the orthogonal complement of a Cartan subalgebra (of dimension 2) in \({{\,\mathrm{SU}\,}}(3)\). We prove that weak solutions u to the degenerate subelliptic p-Laplacian $$\begin{aligned} \Delta _{\mathcal {H},{p}} u(x)=\sum _{i=1}^{6} X_i^{*}\left( \nabla _{\!{\mathcal {H}}}u ^{p-2}X_{i}u \right) =0, \end{aligned}$$have Hölder continuous horizontal derivatives \(\nabla _{\!{\mathcal {H}}}u=(X_1u, \ldots , X_{6}u)\) for \(p\ge 2\). We also prove that a similar result holds for all compact connected semisimple Lie groups.
      PubDate: 2019-12-24
       
  • A Riesz basis criterion for Schrödinger operators with boundary
           conditions dependent on the eigenvalue parameter
    • Abstract: Abstract We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue parameter to be a Riesz basis for \({\mathscr {L}}_2(0,\pi )\).
      PubDate: 2019-12-23
       
  • Real gas flows issued from a source
    • Abstract: Abstract Stationary adiabatic flows of real gases issued from a source of given intensity are studied. Thermodynamic states of gases are described by Legendrian or Lagrangian manifolds. Solutions of Euler equations are given implicitly for any equation of state and the behavior of solutions of the Navier–Stokes equations with the viscosity considered as a small parameter is discussed. For different intensities of the source we introduce a small parameter into the Navier–Stokes equation and construct corresponding asymptotic expansions. We consider the most popular model of real gases—the van der Waals model, and ideal gases as well.
      PubDate: 2019-12-23
       
  • Averaging operators and the classes of starlike functions related to
           parabola
    • Abstract: Abstract An operator I is said to be an averaging (or mean-value) operator on a set \({\mathcal {K}}\) of analytic functions in \(\Delta =\{z: z <1\}\), if \(I[f](0)=f(0)\) and \(I[f](\Delta )\) is contained in the convex hull of \(f(\Delta )\) for all \(f\in {\mathcal {K}}\). In this work we consider the class \(\mathcal {SP}(\alpha )\) of functions defined by us (Folia Sci Univ Technol Resov 28:35–42, 1993), which is connected with the class of uniformly convex functions introduced by Goodman (Ann Polon Math 56:87–92, 1991). We describe an interesting new construction of averaging operators which might attract a considerable attention of mathematicians working in the field.
      PubDate: 2019-12-23
       
  • Correction to: On Borg’s method for non-selfadjoint
           Sturm–Liouville operators
    • Abstract: The original version of the article unfortunately contained few errors under Preliminaries section. The corrected text is given below.
      PubDate: 2019-12-01
       
  • Correction to: A $${\texttt {p}}({\cdot })$$p(·) -Poincaré-type
           inequality for variable exponent Sobolev spaces with zero boundary values
           in Carnot groups
    • Abstract: In this short note, we remark on the main theorem of Theorem 5.1].
      PubDate: 2019-12-01
       
  • A 1-point poly-quadrature domain of order 1 not biholomorphic to a
           complete circular domain
    • Abstract: Abstract It is known that if \(f: D_1 \rightarrow D_2\) is a polynomial biholomorphism with polynomial inverse and constant Jacobian then \(D_1\) is a 1-point poly-quadrature domain (the Bergman span contains all holomorphic polynomials) of order 1 whenever \(D_2\) is a complete circular domain. Bell conjectured that all 1-point poly-quadrature domains arise in this manner. In this note, we construct a 1-point poly-quadrature domain of order 1 that is not biholomorphic to any complete circular domain.
      PubDate: 2019-12-01
       
  • The Cauchy problem for Boussinesq equations with general elliptic part
    • Abstract: In this paper, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equation is obtained. The leading part of the equation include general elliptic operator and abstract positive operator in a Banach space E. Since the Banach space E and linear operators are sufficiently large classes, by choosing their we obtain the existence and uniqueness of solution of numerous classes of generalized Boussinesq type equations which occur in a wide variety of physical systems. By applying this result, the Wentzell–Robin type mixed problem for Boussinesq equations and the Cauchy problem for finite or infinite systems of Boussinesq equations are studied.
      PubDate: 2019-12-01
       
  • Critical graph of a polynomial quadratic differential related to a
           Schrödinger equation with quartic potential
    • Abstract: Abstract In this paper, we study the weak asymptotic in the \(\mathbb {C}\)-plane of some wave functions resulting from the WKB-techniques applied to a Schrödinger equation with quartic oscillator and having some boundary condition. As a first step, we make transformations of our problem to obtain a Heun equation satisfied by the polynomial part of the WKB wave functions. Especially, we investigate the properties of the Cauchy transform of the root counting measure of re-scaled solutions of the Schrodinger equation, to obtain a quadratic algebraic equation of the form \({\mathcal {C}}^{2}(z) +r(z){\mathcal {C}}(z)+s(z)=0\), where r, s are also polynomials. As a second step, we discuss the existence of solutions (in the form of Cauchy transform of a signed measure) of this algebraic equation. It remains to describe the critical graph of a related quadratic differential \(-p(z)dz^{2}\) where p(z) is a quartic polynomial. In particular, we discuss the existence (and their number) of finite critical trajectories of this quadratic differential.
      PubDate: 2019-12-01
       
  • Abundant exact solutions and interaction phenomena of the
           (2 + 1)-dimensional YTSF equation
    • Abstract: Abstract In this paper, we study abundant exact solutions including the lump and interaction solutions to the (2 + 1)-dimensional Yu–Toda–Sasa–Fukuyama equation. With symbolic computation, lump solutions and the interaction solutions are generated directly based on the Hirota bilinear formulation. Analyticity and well-definedness is guaranteed through some conditions posed on the parameters. With special choices of the involved parameters, the interaction phenomena are simulated and discussed. We find the lump moves from one hump to the other hump of the two-soliton, while the lump separates from the hump of the one-soliton.
      PubDate: 2019-09-03
       
 
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