Existence and stability of the doubly nonlinear anisotropic parabolic equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:497

Article

Zhan, Huashui¹  Feng, Zhaosheng² 

[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Fujian, Peoples R China

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

关键词: Anisotropic parabolic equation;    Partial boundary value condition;    Weak solution;    Characteristic function method;   

DOI  :  10.1016/j.jmaa.2020.124850

来源: Elsevier

【 摘 要 】

In this paper, we are concerned with a doubly nonlinear anisotropic parabolic equation, in which the diffusion coefficient and the variable exponent depend on the time variable t. Under certain conditions, the existence of weak solution is proved by applying the parabolically regularized method. Based on a partial boundary value condition, the stability of weak solution is also investigated. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free