Modified Scattering for the Hartree Nonlinear Schrödinger Equation
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911968649019392 |
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| author | Van Hoose, Tim |
| author_facet | Van Hoose, Tim |
| contents | We prove sharp $L^\infty$ decay and modified scattering for the Hartree nonlinear Schrödinger equation in dimensions $2$ and $3$ using the testing by wavepackets method of Ifrim and Tataru. We show that the scattering behavior happens at a regularity well below that of earlier results of Hayashi-Naumkin and Kato-Pusateri. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18411 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modified Scattering for the Hartree Nonlinear Schrödinger Equation Van Hoose, Tim Analysis of PDEs 35P25 (Primary) 35Q55 (Secondary) We prove sharp $L^\infty$ decay and modified scattering for the Hartree nonlinear Schrödinger equation in dimensions $2$ and $3$ using the testing by wavepackets method of Ifrim and Tataru. We show that the scattering behavior happens at a regularity well below that of earlier results of Hayashi-Naumkin and Kato-Pusateri. |
| title | Modified Scattering for the Hartree Nonlinear Schrödinger Equation |
| topic | Analysis of PDEs 35P25 (Primary) 35Q55 (Secondary) |
| url | https://arxiv.org/abs/2407.18411 |