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- W4297904736 abstract "In this paper, we consider the cubic nonlinear Schrodinger equation with third order dispersion on the circle. In the non-resonant case, we prove that the mean-zero Gaussian measures on Sobolev spaces $H^s(mathbb{T})$, $s > frac 34$, are quasi-invariant under the flow. In establishing the result, we apply gauge transformations to remove the resonant part of the dynamics and use invariance of the Gaussian measures under these gauge transformations." @default.
- W4297904736 created "2022-10-01" @default.
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- W4297904736 date "2018-05-22" @default.
- W4297904736 modified "2023-09-26" @default.
- W4297904736 title "Quasi-invariant Gaussian measures for the cubic nonlinear Schrodinger equation with third order dispersion" @default.
- W4297904736 doi "https://doi.org/10.48550/arxiv.1805.08409" @default.
- W4297904736 hasPublicationYear "2018" @default.
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