Asymptotic stability of kink with internal modes under odd perturbation
Analysis of PDEs
2022-03-28 v1
Abstract
We give a sufficient condition, in the spirit of Kowalczyk-Martel-Munoz-Van Den Bosch \cite{KMMvdB21AnnPDE}, for the local asymptotic stability of kinks under odd perturbations. In particular, we allow the existence of quite general configuration of internal modes. The extension of our result to moving kinks remains an open problem.
Cite
@article{arxiv.2203.13468,
title = {Asymptotic stability of kink with internal modes under odd perturbation},
author = {Scipio Cuccagna and Masaya Maeda},
journal= {arXiv preprint arXiv:2203.13468},
year = {2022}
}
Comments
43 pages, 1 figure