Solvability of the Dirichlet Problem for Anisotropic Parabolic Equations in Nonconvex Domains Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2022, Volume: 16, Number: 1, Pages: 156-167 Pages count : 12 DOI: 10.1134/S199047892201015X | ||
| Tags | anisotropic parabolic equation in nonconvex domain; Lipschitz continuous viscosity solution | ||
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Abstract:
Abstract: The first initial–boundary value problem for an anisotropic parabolic equation withtime-dependent anisotropy exponents in a nonconvex domain is considered. For this equation,sufficient conditions for the existence and uniqueness of a viscosity solution Lipschitz continuousin the space variables and Hölder continuous in time are stated. © 2022, Pleiades Publishing, Ltd.
Cite:
Tersenov A.S.
Solvability of the Dirichlet Problem for Anisotropic Parabolic Equations in Nonconvex Domains
Journal of Applied and Industrial Mathematics. 2022. V.16. N1. P.156-167. DOI: 10.1134/S199047892201015X Scopus РИНЦ OpenAlex
Solvability of the Dirichlet Problem for Anisotropic Parabolic Equations in Nonconvex Domains
Journal of Applied and Industrial Mathematics. 2022. V.16. N1. P.156-167. DOI: 10.1134/S199047892201015X Scopus РИНЦ OpenAlex
Original:
Терсенов А.С.
Разрешимость задачи Дирихле для анизотропных параболических уравнений в невыпуклых областях
Сибирский журнал индустриальной математики. 2022. №1. С.131-146. DOI: 10.33048/SIBJIM.2022.25.110 РИНЦ OpenAlex
Разрешимость задачи Дирихле для анизотропных параболических уравнений в невыпуклых областях
Сибирский журнал индустриальной математики. 2022. №1. С.131-146. DOI: 10.33048/SIBJIM.2022.25.110 РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85134228747 |
| Elibrary: | 52865759 |
| OpenAlex: | W4285410624 |