Asymptotic stability of solitons for the Benjamin-Ono equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
Submitted for publication on December 26, 2007

Keywords

Analysis of PDEs, 35Q53, 35Q51, 35B40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/157442

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.3683
 http://arxiv.org/abs/0803.3683

Collections

arXiv