School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Nonnegative weak solutions of anisotropic parabolic equations

Document Type

Article

Publication Date

4-2024

Abstract

In this paper, we consider anisotropic parabolic equations with variable exponents. The existence of weak solution is proved by means of the parabolically regularized method, and the stability of nonnegative solutions is analyzed under certain conditions. By introducing a new kind of weak solution, the stability of the weak solution is established without any boundary value condition.

Publication Title

Discrete and Continuous Dynamical Systems - S

DOI

10.3934/dcdss.2024008

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