Asymptotic stability of solitons for the Benjamin-Ono equation
Analysis of PDEs
2008-03-27 v2
Abstract
In this paper, we prove the asymptotic stability of the family of solitons of the Benjamin-Ono equation in the energy space. The proof is based on a Liouville property for solutions close to the solitons for this equation, in the spirit of Martel and Merle (arXiv:0706.1174v2). As a corollary of the proofs, we obtain the asymptotic stability of exact multi-solitons.
Keywords
Cite
@article{arxiv.0803.3683,
title = {Asymptotic stability of solitons for the Benjamin-Ono equation},
author = {C. E. Kenig and Y. Martel},
journal= {arXiv preprint arXiv:0803.3683},
year = {2008}
}
Comments
Submitted for publication on December 26, 2007