Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane

DOI10.1134/S0965542523040036zbMath1516.35004OpenAlexW4378676673MaRDI QIDQ6159049

E. A. Baderko, S. I. Sakharov

Publication date: 1 June 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523040036

zbMATH Keywords

parabolic systemsboundary integral equationsinitial-boundary value problemsnonsmooth lateral boundaryuniqueness of a classical solution

Mathematics Subject Classification ID

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

Related Items (3)

Existence and uniqueness of the classical solution of the first boundary value problem for parabolic systems on the plane ⋮ On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ Initial-boundary value problems for homogeneous parabolic systems in a semibounded plane domain and complementarity condition

Cites Work

• Simple layer potential and the first boundary value problem for a parabolic system on the plane
• Dirichlet problem for parabolic systems with dini continuous coefficients on the plane
• Smoothness in the dini space of a single layer potential for a parabolic system in the plane
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• 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
• Smooth solution of the second initial-boundary value problem for a model parabolic system in a semibounded nonsmooth domain on the plane
• Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane
• Classical solutions of the first boundary value problem for parabolic systems on the plane
• Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries
• The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries
• On smoothness of thermal potentials in Dini-Hölder space
• Uniqueness theorem for parabolic Cauchy problem
• ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTS
• Dirichlet problem for parabolic systems with Dini continuous coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane