Stability of traveling waves for doubly nonlinear equations

Autor: Seis, Christian, Winkler, Dominik
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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).
Databáze: arXiv