Solution of the Bitsadze-Samarskii problem for a parabolic system in a semibounded domain

DOI10.1134/S0012266117100068zbMath1400.35154OpenAlexW2770103956MaRDI QIDQ1701772

E. A. Baderko, M. F. Cherepova

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117100068

zbMATH Keywords

initial-boundary value problemclassical solutionnonlocalPetrovskii uniformly parabolic matrix operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

Mixed problems for plane parabolic systems and boundary integral equations ⋮ 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 ⋮ Bitsadze–Samarskii problem for parabolic systems with Dini continuous coefficients

Cites Work

• Simple layer potential and the first boundary value problem for a parabolic system on the plane
• Bitsadze-Samarskii problem for a parabolic system on the plane
• The Bitsadze-Samarskij problem for parabolic equation
• 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
• 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
• Elliptic functional differential equations and applications
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