Higher order asymptotics for the nonlinear Schrödinger equation
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916523101126656 |
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| author | Liu, Jiaqi Yang, Changhua |
| author_facet | Liu, Jiaqi Yang, Changhua |
| contents | In this paper we compute the higher order long time asymptotics of the defocussing nonlinear Schrödinger equation using the $\overline{\partial}$-nonlinear steepest descent method. We assume initial condition in weighted Sobolev space with finite order of regularity and decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08943 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order asymptotics for the nonlinear Schrödinger equation Liu, Jiaqi Yang, Changhua Analysis of PDEs 35Q15 In this paper we compute the higher order long time asymptotics of the defocussing nonlinear Schrödinger equation using the $\overline{\partial}$-nonlinear steepest descent method. We assume initial condition in weighted Sobolev space with finite order of regularity and decay. |
| title | Higher order asymptotics for the nonlinear Schrödinger equation |
| topic | Analysis of PDEs 35Q15 |
| url | https://arxiv.org/abs/2412.08943 |