Self-similar blowup for mass supercritical Schrödinger equations
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911171080093696 |
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| author | Donninger, Roland Lichtnecker, Lorenz |
| author_facet | Donninger, Roland Lichtnecker, Lorenz |
| contents | We consider the focusing nonlinear Schrödinger equation in three spatial dimensions with powers close to three and prove the existence of a self-similar solution. This generalizes a previous result on the cubic case and shows that self-similar blowup is stable under perturbations of the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16600 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-similar blowup for mass supercritical Schrödinger equations Donninger, Roland Lichtnecker, Lorenz Analysis of PDEs Mathematical Physics We consider the focusing nonlinear Schrödinger equation in three spatial dimensions with powers close to three and prove the existence of a self-similar solution. This generalizes a previous result on the cubic case and shows that self-similar blowup is stable under perturbations of the equation. |
| title | Self-similar blowup for mass supercritical Schrödinger equations |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2509.16600 |