Poisson potential in the first initial-boundary value problem for a parabolic system in a semibounded domain on the plane

DOI10.1134/S00122661220100044zbMath1505.35243OpenAlexW4313200271MaRDI QIDQ2680511

E. A. Baderko, S. I. Sakharov

Publication date: 4 January 2023

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

Full work available at URL: https://doi.org/10.1134/s00122661220100044

zbMATH Keywords

nonsmooth lateral boundaryuniformly Petrovskii parabolic operator

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) 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 (3)

On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ On the smoothness of the Poisson potential for second-order parabolic systems on the plane ⋮ Initial-boundary value problems for homogeneous parabolic systems in a semibounded plane domain and complementarity condition

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• On smoothness of thermal potentials in Dini-Hölder space
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