On quasilinear anisotropic parabolic equations with time-dependent exponents

On quasilinear anisotropic parabolic equations with time-dependent exponents Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2020, Volume: 61, Number: 1, Pages: 159-177 Pages count : 19

Tags

anisotropic parabolic equation, weak solution with bounded spatial derivatives

Authors

Tersenov Al.S. ¹ , Tersenov Ar.S. ^2,3

Affiliations

1	University of Crete, Department of Mathematics and Applied Mathematics, Heraklion, Crete, Greece
2	Sobolev Institute of Mathematics
3	Novosibirsk State University, Novosibirsk, Russia

Funding (1)

Russian Foundation for Basic Research

18-01-00649

The Cauchy–Dirichlet problem for the anisotropic parabolic equation with variable exponents in the presence of a nonlinear source and gradient term is considered. We prove the existence and uniqueness of a weak solution that is Lipschitz continuous in the space variables.

Tersenov A.S. , Tersenov A.S.
On quasilinear anisotropic parabolic equations with time-dependent exponents
Siberian Mathematical Journal. 2020. V.61. N1. P.159-177.

Терсенов А.С. , Терсенов А.С.
О квазилинейных параболических уравнениях с переменным показателем анизотропности
Сибирский математический журнал. 2020. Т.61. №1. С.201-223.

Submitted:	Dec 27, 2018
Accepted:	May 15, 2019

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