On the Existence of Viscosity Solutions of Anisotropic Parabolic Equations with Time-Dependent Anisotropy Exponents

On the Existence of Viscosity Solutions of Anisotropic Parabolic Equations with Time-Dependent Anisotropy Exponents Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Output data

Year: 2022, Volume: 16, Number: 4, Pages: 821-833 Pages count : 13 DOI: 10.1134/s1990478922040214

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0008

We consider the Cauchy–Dirichlet problem for an anisotropic parabolic equation with a gradient term that does not satisfy the Bernstein–Nagumo condition. The existence and uniqueness of a viscosity solution of this problem is proved. This solution is H¨ older continuous in time and Lipschitz continuous in the spatial variables.

Tersenov A.S.
On the Existence of Viscosity Solutions of Anisotropic Parabolic Equations with Time-Dependent Anisotropy Exponents
Journal of Applied and Industrial Mathematics. 2022. V.16. N4. P.821-833. DOI: 10.1134/s1990478922040214 Scopus РИНЦ OpenAlex

Терсенов А.С.
О существовании вязких решений анизотропных параболических уравнений с переменными показателями анизотропности
Сибирский журнал индустриальной математики. 2022. Т.25. №4. С.206 - 220. DOI: 10.33048/SIBJIM.2022.25.416 РИНЦ

Submitted:	Jul 5, 2022
Accepted:	Sep 29, 2022
Published online:	Mar 6, 2023
Published print:	Jan 12, 2024

Scopus:	2-s2.0-85150182026
Elibrary:	59097681
OpenAlex:	W4323344562

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