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arXiv · 2211.07930

Stability of the separable solutions for a nonlinear boundary diffusion problem

Tianling Jin·Jingang Xiong·Xuzhou Yang
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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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Tianling Jin, Jingang Xiong, Xuzhou Yang. 2022-11-15. Stability of the separable solutions for a nonlinear boundary diffusion problem. https://arxiv.org/abs/2211.07930

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