A simple criterion of transverse linear instability for solitary waves
Analysis of PDEs
2010-01-26 v2 Spectral Theory
Abstract
We prove an abstract instability result for an eigenvalue problem with parameter. We apply this criterion to show the transverse linear instability of solitary waves on various examples from mathematical physics.
Keywords
Cite
@article{arxiv.0910.3789,
title = {A simple criterion of transverse linear instability for solitary waves},
author = {F. Rousset and N. Tzvetkov},
journal= {arXiv preprint arXiv:0910.3789},
year = {2010}
}
Comments
The main result has been improved and its proof simplified