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arXiv:0803.3683 [math.AP]AbstractReferencesReviewsResources

Asymptotic stability of solitons for the Benjamin-Ono equation

C. E. Kenig, Y. Martel

Published 2008-03-26Version 2

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.

Comments: Submitted for publication on December 26, 2007
Categories: math.AP
Subjects: 35Q53, 35Q51, 35B40
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