Stability of the separable solutions for a nonlinear boundary diffusion problem

2022/11/15 by Jin, Tianling, Xiong, Jingang, Yang, Xuzhou · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.07930

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.

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