Bitsadze–Samarskii problem for parabolic systems with Dini continuous coefficients

DOI10.1080/17476933.2018.1501039zbMath1409.35101OpenAlexW2885890956MaRDI QIDQ4634044

E. A. Baderko, M. F. Cherepova

Publication date: 7 May 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2018.1501039

zbMATH Keywords

initial-boundary value problemboundary integral equationsparabolic systemnonsmooth lateral boundarymethod of potentials

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Volterra integral equations (45D05) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (8)

On the first initial-boundary value problem for a model parabolic system in a domain with curvilinear lateral boundaries ⋮ On an inverse problem of the Bitsadze-Samarskii type for a parabolic equation of fractional order ⋮ Inverse problem of Bitsadze-Samarskii type for a two-dimensional parabolic equation of fractional order ⋮ ON THE INVERSE PROBLEM OF THE BITSADZE-SAMARSKII TYPE FOR A FRACTIONAL PARABOLIC EQUATION ⋮ Initial-boundary value problems for homogeneous parabolic systems in a semibounded plane domain and complementarity condition ⋮ Dirichlet problem for parabolic systems with Dini continuous coefficients ⋮ Contact problem for second order parabolic systems in a strip with a nonsmooth interface curve ⋮ Uniqueness of the solution of the first initial-boundary value problem for a parabolic system with differentiable coefficients in a half-strip with nonsmooth lateral boundary

Cites Work

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• Analytic methods in the theory of differential and pseudo-differential equations of parabolic type
• The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries
• Nonclassical boundary-value problems. II
• Nonclassical boundary value problems. I. Transl. from the Russian
• On smoothness of thermal potentials in Dini-Hölder space
• Uniqueness of the solution of a boundary value problem with samarskii boundary conditions for a second-order parabolic equation
• ELLIPTIC PROBLEMS WITH NONLOCAL CONDITIONS NEAR THE BOUNDARY
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