Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{ö}dinger equation
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909160117895168 |
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| author | Thomann, Laurent Burq, Nicolas |
| author_facet | Thomann, Laurent Burq, Nicolas |
| contents | In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{ö}dinger equation with random initial conditions. Namely, we describe the nonlinear evolution of Gaussian measures and we deduce global well-posedness and scattering results for the corresponding nonlinear Schr{ö}dinger equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_06964 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{ö}dinger equation Thomann, Laurent Burq, Nicolas Analysis of PDEs In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{ö}dinger equation with random initial conditions. Namely, we describe the nonlinear evolution of Gaussian measures and we deduce global well-posedness and scattering results for the corresponding nonlinear Schr{ö}dinger equation. |
| title | Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{ö}dinger equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.06964 |