Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916240730095616 |
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| author | Castro, Alejandro J. Jabbarkhanov, Khumoyun Kassimbekov, Azamat |
| author_facet | Castro, Alejandro J. Jabbarkhanov, Khumoyun Kassimbekov, Azamat |
| contents | In this paper we show the persistence property for solutions of the derivative nonlinear Schrödinger equation with initial data in weighted Sobolev spaces $H^{2}(\mathbb{R})\cap L^2(|x|^{2r}dx)$, $r\in (0,1]$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2212_05379 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces Castro, Alejandro J. Jabbarkhanov, Khumoyun Kassimbekov, Azamat Analysis of PDEs Mathematical Physics 35Q55, 35A02, 35B65 In this paper we show the persistence property for solutions of the derivative nonlinear Schrödinger equation with initial data in weighted Sobolev spaces $H^{2}(\mathbb{R})\cap L^2(|x|^{2r}dx)$, $r\in (0,1]$. |
| title | Persistence of solutions to the Derivative Nonlinear Schrödinger equation in weighted Sobolev spaces |
| topic | Analysis of PDEs Mathematical Physics 35Q55, 35A02, 35B65 |
| url | https://arxiv.org/abs/2212.05379 |