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

被引：0

作者：

Tersenov A.S. ^{[1
]}

机构：

[1] Sobolev Institute of Mathematics, Siberian Branch, Russian Academy ofSciences, Novosibirsk

来源：

Journal of Applied and Industrial Mathematics | 2022年 / 16卷 / 04期

关键词：

anisotropic parabolic equation; time-dependent anisotropy exponent; viscosity solution;

D O I：

10.1134/S1990478922040214

中图分类号：

学科分类号：

摘要：

Abstract: We consider the Cauchy–Dirichlet problem for an anisotropic parabolic equation with agradient term that does not satisfy the Bernstein–Nagumo condition. The existence anduniqueness of a viscosity solution of this problem is proved. This solution is Höldercontinuous in time and Lipschitz continuous in the spatial variables. © 2022, Pleiades Publishing, Ltd.

引用

页码：821 / 833

页数：12