Invariance of the Gibbs Measure for the Schrodinger-Benjamin-Ono System

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dc.creatorOh, Tadahiro
dc.date2009-04-19
dc.date.accessioned2026-07-07T13:05:47Z
dc.date.available2026-07-07T13:05:47Z
dc.descriptionWe prove the invariance of the Gibbs measure for the periodic Schrodinger-Benjamin-Ono system (when the coupling parameter |γ| \ne 0, 1) by establishing a new local well-posedness in a modified Sobolev space and constructing the Gibbs measure (which is in the sub-L^2 setting for the Benjamin-Ono part.) We also show the ill-posedness result in H^s(\mathbb{T}) \times H^{s-{1/2}}(\mathbb{T}) for s < {1/2} when |γ| \ne 0, 1 and for any s \in \mathbb{R} when |γ| =1.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0904.2817
dc.identifierhttp://arxiv.org/abs/0904.2817
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227601
dc.subjectAnalysis of PDEs
dc.subject35Q53, 35G25
dc.titleInvariance of the Gibbs Measure for the Schrodinger-Benjamin-Ono System
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