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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
We consider the cubic fourth order nonlinear Schrödinger equation on the circle. In particular, we prove that the mean-zero Gaussian measures on Sobolev spaces [Formula: see text] , [Formula: see text] , are quasi-invariant under the flow.
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer Berlin Heidelberg
2016
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5666209/ https://www.ncbi.nlm.nih.gov/pubmed/29151661 http://dx.doi.org/10.1007/s00440-016-0748-7 |
| Sumario: | We consider the cubic fourth order nonlinear Schrödinger equation on the circle. In particular, we prove that the mean-zero Gaussian measures on Sobolev spaces [Formula: see text] , [Formula: see text] , are quasi-invariant under the flow. |
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