Small energy scattering for radial solutions to the generalized Zakharov system
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914671805595648 |
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| author | Kato, Jun Tojo, Osamu |
| author_facet | Kato, Jun Tojo, Osamu |
| contents | We prove the small energy scattering for the three-dimensional generalized Zakharov system with radial symmetry based on the idea by Guo and Nakanishi (2014), which treats the usual Zakharov system. For the proof, we use the frequency-localized normal form reduction, and the radially improved Strichartz estimates. The relation between the solution to the integral equations, which includes the unusual boundary terms, and the original differential equations is also considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09855 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Small energy scattering for radial solutions to the generalized Zakharov system Kato, Jun Tojo, Osamu Analysis of PDEs We prove the small energy scattering for the three-dimensional generalized Zakharov system with radial symmetry based on the idea by Guo and Nakanishi (2014), which treats the usual Zakharov system. For the proof, we use the frequency-localized normal form reduction, and the radially improved Strichartz estimates. The relation between the solution to the integral equations, which includes the unusual boundary terms, and the original differential equations is also considered. |
| title | Small energy scattering for radial solutions to the generalized Zakharov system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.09855 |