Existence and stability of the doubly nonlinear anisotropic parabolic equation

Authors

Huashui Zhan
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

12-2020

Abstract

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.

Comments

© 2020 Elsevier Inc. All rights reserved. Original published version available at https://dx.doi.org/10.1016%2Fj.jmaa.2020.124850

Recommended Citation

Zhan H, Feng Z. Existence and stability of the doubly nonlinear anisotropic parabolic equation. J Math Anal Appl. 2021;497(1):124850. doi:10.1016/j.jmaa.2020.124850

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2020.124850