Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries

DOI10.1134/S1064562420050269zbMath1477.35093OpenAlexW3120871118MaRDI QIDQ2243786

M. F. Cherepova, E. A. Baderko

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562420050269

zbMATH Keywords

parabolic systemsinitial boundary value problemsuniqueness of regular solutionsnonsmooth lateral boundaries

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Classical solutions of the first boundary value problem for parabolic systems on the plane, On the first initial-boundary value problem for a model parabolic system in a domain with curvilinear lateral boundaries, Existence and uniqueness of the classical solution of the first boundary value problem for parabolic systems on the plane, Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane, Initial-boundary value problems for homogeneous parabolic systems in a semibounded plane domain and complementarity condition, Uniqueness of solutions of the first and second initial-boundary value problems for parabolic systems in bounded domains on the plane, 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

• Unnamed Item
• Unnamed Item
• Simple layer potential and the first boundary value problem for a parabolic system on the plane
• Uniqueness of solution to the first initial boundary value problem for parabolic systems on the plane in a model case
• The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries
• Uniqueness of solution of the first initial-boundary value problem for parabolic systems with constant coefficients in a semibounded domain on the plane
• Analogs of Giraud's theorem for a second-order parabolic equation
• ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTS
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE