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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.10463 |
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| _version_ | 1866914681629704192 |
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| author | Wang, Xiaohong Han, Lijia |
| author_facet | Wang, Xiaohong Han, Lijia |
| contents | We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smooth global solutions and scattering results, by combining the space--time resonance method, weighted Sobolev space and dispersive estimates. Moreover, the decay rates for the solutions are also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering for the magnetic Zakharov system in 3 dimensions Wang, Xiaohong Han, Lijia Analysis of PDEs We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smooth global solutions and scattering results, by combining the space--time resonance method, weighted Sobolev space and dispersive estimates. Moreover, the decay rates for the solutions are also obtained. |
| title | Scattering for the magnetic Zakharov system in 3 dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.10463 |