Asymptotic stability of solitons for the Benjamin-Ono equation

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dc.creatorKenig, C. E.
dc.creatorMartel, Y.
dc.date2008-03-26
dc.date2008-03-26
dc.date.accessioned2026-07-07T09:28:24Z
dc.date.available2026-07-07T09:28:24Z
dc.descriptionIn 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.
dc.descriptionSubmitted for publication on December 26, 2007
dc.identifierhttps://arxiv.org/abs/0803.3683
dc.identifierhttp://arxiv.org/abs/0803.3683
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157442
dc.subjectAnalysis of PDEs
dc.subject35Q53, 35Q51, 35B40
dc.titleAsymptotic stability of solitons for the Benjamin-Ono equation
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