Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911813502763008 |
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| author | Kobayashi, Nobutatsu |
| author_facet | Kobayashi, Nobutatsu |
| contents | We study the Cauchy problem for the Zakharov system in one space dimension with the Diriclet boundary conditions. We establish the global well-posedness and the growth of higher-order Sobolev norms of solutions to the Zakharov system by using the modified energy method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension Kobayashi, Nobutatsu Analysis of PDEs 35B45, 35B35, 35A01, 35A02 We study the Cauchy problem for the Zakharov system in one space dimension with the Diriclet boundary conditions. We establish the global well-posedness and the growth of higher-order Sobolev norms of solutions to the Zakharov system by using the modified energy method. |
| title | Upper bound of higher-order Sobolev norms for Zkaharov system in one space dimension |
| topic | Analysis of PDEs 35B45, 35B35, 35A01, 35A02 |
| url | https://arxiv.org/abs/2403.17380 |