Low regularity solutions to the logarithmic Schrodinger equation
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915403149606912 |
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| author | Carles, Rémi Hayashi, Masayuki Ozawa, Tohru |
| author_facet | Carles, Rémi Hayashi, Masayuki Ozawa, Tohru |
| contents | We consider the logarithmic Schr{ö}dinger equation, in various geometric settings. We show that the flow map can be uniquely extended from H^1 to L^2 , and that this extension is Lipschitz continuous. Moreover, we prove the regularity of the flow map in intermediate Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01801 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Low regularity solutions to the logarithmic Schrodinger equation Carles, Rémi Hayashi, Masayuki Ozawa, Tohru Analysis of PDEs We consider the logarithmic Schr{ö}dinger equation, in various geometric settings. We show that the flow map can be uniquely extended from H^1 to L^2 , and that this extension is Lipschitz continuous. Moreover, we prove the regularity of the flow map in intermediate Sobolev spaces. |
| title | Low regularity solutions to the logarithmic Schrodinger equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.01801 |