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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.16794 |
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| _version_ | 1866916913352802304 |
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| author | Byars, Allison |
| author_facet | Byars, Allison |
| contents | We prove a modified scattering and asymptotic completeness for the derivative nonlinear Schrödinger equation. This is the first result proving asymptotic completeness in a quasilinear setting. Our approach combines the method of testing by wave packets, introduced by Ifrim and Tataru, a bootstrap argument, and the Klainerman Sobolev vector field method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16794 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Modified Scattering and Asymptotic Completeness for the Derivative Nonlinear Schrödinger equation Byars, Allison Analysis of PDEs We prove a modified scattering and asymptotic completeness for the derivative nonlinear Schrödinger equation. This is the first result proving asymptotic completeness in a quasilinear setting. Our approach combines the method of testing by wave packets, introduced by Ifrim and Tataru, a bootstrap argument, and the Klainerman Sobolev vector field method. |
| title | Modified Scattering and Asymptotic Completeness for the Derivative Nonlinear Schrödinger equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.16794 |