Non-radial implosion for the defocusing nonlinear Schrödinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916424753086464 |
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| author | Cao-Labora, Gonzalo Gómez-Serrano, Javier Shi, Jia Staffilani, Gigliola |
| author_facet | Cao-Labora, Gonzalo Gómez-Serrano, Javier Shi, Jia Staffilani, Gigliola |
| contents | In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schrödinger equation that develop an imploding finite time singularity, both in the periodic setting and the full space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_04532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-radial implosion for the defocusing nonlinear Schrödinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$ Cao-Labora, Gonzalo Gómez-Serrano, Javier Shi, Jia Staffilani, Gigliola Analysis of PDEs In this paper we construct smooth, non-radial solutions of the defocusing nonlinear Schrödinger equation that develop an imploding finite time singularity, both in the periodic setting and the full space. |
| title | Non-radial implosion for the defocusing nonlinear Schrödinger equation in $\mathbb{T}^d$ and $\mathbb{R}^d$ |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.04532 |