Stability of the separable solutions for a nonlinear boundary diffusion problem
Analysis of PDEs
2024-02-07 v2
Abstract
In this paper, we study a nonlinear boundary diffusion equation of porous medium type arising from a boundary control problem. We give a complete and sharp characterization of the asymptotic behavior of its solutions, and prove the stability of its separable solutions.
Cite
@article{arxiv.2211.07930,
title = {Stability of the separable solutions for a nonlinear boundary diffusion problem},
author = {Tianling Jin and Jingang Xiong and Xuzhou Yang},
journal= {arXiv preprint arXiv:2211.07930},
year = {2024}
}
Comments
47 pages. Incorporated the referee's suggestions and published by JMPA