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Journal of Applied and Industrial Mathematics

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01-02-2022

Solvability of the Dirichlet Problem for Anisotropic Parabolic Equations in Nonconvex Domains

Author: Ar. S. Tersenov

Published in: Journal of Applied and Industrial Mathematics | Issue 1/2022

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Abstract

The first initial–boundary value problem for an anisotropic parabolic equation with time-dependent anisotropy exponents in a nonconvex domain is considered. For this equation, sufficient conditions for the existence and uniqueness of a viscosity solution Lipschitz continuous in the space variables and Hölder continuous in time are stated.

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Title: Solvability of the Dirichlet Problem for Anisotropic Parabolic Equations in Nonconvex Domains
Author: Ar. S. Tersenov
Publication date: 01-02-2022
Publisher: Pleiades Publishing
Published in: Journal of Applied and Industrial Mathematics / Issue 1/2022
Print ISSN: 1990-4789
Electronic ISSN: 1990-4797
DOI: https://doi.org/10.1134/S199047892201015X

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