STABILITY OF ANISOTROPIC PARABOLIC EQUATIONS WITHOUT BOUNDARY CONDITIONS

Authors

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

Document Type

Article

Publication Date

2020

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.

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