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.
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页码：821 / 833
页数：12
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