Document Type
Article
Publication Date
2020
Recommended Citation
Zhan, Huashui, and Zhaosheng Feng. 2020. “STABILITY OF ANISOTROPIC PARABOLIC EQUATIONS WITHOUT BOUNDARY CONDITIONS.” Electronic Journal of Differential Equations 2020 (74): 1–14.
Publication Title
Electronic Journal of Differential Equations
Comments
In this article, we consider the equation
with ai(x), pi(x) ∈ C1 (Ω) and pi(x) > 1. Where ai(x) = 0 if x ∈ ∂Ω, and ai(x) > 0 if x ∈ Ω, without any boundary conditions. We propose an analytical method for studying the stability of weak solutions. We also study the uniqueness of a weak solution, and establish its stability under certain conditions.