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- W2952065616 abstract "We prove the invariance of the Gibbs measure for the periodic Schrodinger-Benjamin-Ono system (when the coupling parameter |gamma| 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 |gamma| ne 0, 1 and for any s in mathbb{R} when |gamma| =1." @default.
- W2952065616 created "2019-06-27" @default.
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- W2952065616 date "2009-04-19" @default.
- W2952065616 modified "2023-09-27" @default.
- W2952065616 title "Invariance of the Gibbs Measure for the Schrodinger-Benjamin-Ono System" @default.
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