Bitsadze-Samarskii problem for a parabolic system on the plane

DOI10.1134/S1064562416060211zbMath1372.35159MaRDI QIDQ521422

E. A. Baderko, M. F. Cherepova

Publication date: 11 April 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundary integral equationsnonlocal boundary conditionBitsadze-Samarskii problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

On a nonlinear nonlocal parabolic problem ⋮ Mixed problems for plane parabolic systems and boundary integral equations ⋮ On periodic solutions of quasilinear parabolic equations with boundary conditions of Bitsadze-Samarskii type ⋮ Solution of the Bitsadze-Samarskii problem for a parabolic system in a semibounded domain ⋮ 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
• The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries
• ELLIPTIC PROBLEMS WITH NONLOCAL CONDITIONS NEAR THE BOUNDARY
• AN INVESTIGATION OF THE BEHAVIOR OFL₂-NORMS OF THE SOLUTIONS OF STRONGLY PARABOLIC SYSTEMS WITH DISSIPATION
• Elliptic functional differential equations and applications
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