Asymptotic stability of solitons for the Benjamin-Ono equation

Details Asymptotic stability of solitons for the Benjamin-Ono equation Asymptotic stability of solitons for the Benjamin-Ono equation

2008-03-26

arxiv.org/abs/0803.3683v2

Mathematics

Analysis of PDEs

Submitted for publication on December 26, 2007

Scientific paper

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.

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