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arXiv · 2401.10597

Stability of traveling waves for doubly nonlinear equations

Christian Seis·Dominik Winkler
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Abstract

In this note, we investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave solutions in a homogeneous Lipschitz sense. We derive regularity estimates for arbitrary derivatives of the solution's pressure by extending existing results for the porous medium equation (Ref. 15).

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Christian Seis, Dominik Winkler. 2024-01-19. Stability of traveling waves for doubly nonlinear equations. https://doi.org/10.2140/tunis.2026.8.157

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