Singularities of solutions to nonlinear Schrödinger equations
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909343088115712 |
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| author | Abe, Fumihito Kato, Keiichi |
| author_facet | Abe, Fumihito Kato, Keiichi |
| contents | We study the wave front set of the solutions of the initial value problem for nonlinear Schrödinger equations via wave packet transform. We give an sufficient condition which assures that the solutions is in Sobolev space of order s in a given direction at a given time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singularities of solutions to nonlinear Schrödinger equations Abe, Fumihito Kato, Keiichi Analysis of PDEs 35Q55, 35A18 We study the wave front set of the solutions of the initial value problem for nonlinear Schrödinger equations via wave packet transform. We give an sufficient condition which assures that the solutions is in Sobolev space of order s in a given direction at a given time. |
| title | Singularities of solutions to nonlinear Schrödinger equations |
| topic | Analysis of PDEs 35Q55, 35A18 |
| url | https://arxiv.org/abs/2410.06776 |