Smooth solution of the first initial-boundary value problem for parabolic systems in a semibounded domain with nonsmooth lateral boundary on the plane

DOI10.1134/S00122661220100093zbMath1505.35244OpenAlexW4313200334MaRDI QIDQ2680516

K. D. Fedorov

Publication date: 4 January 2023

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

Full work available at URL: https://doi.org/10.1134/s00122661220100093

zbMATH Keywords

method of boundary integral equationsuniformly Petrovskii parabolic operator

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• On the first initial-boundary value problem for a model parabolic system in a domain with curvilinear lateral boundaries
• Dirichlet problem for parabolic systems with Dini continuous coefficients