Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866910976521011200 |
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| author | Bringmann, Bjoern |
| author_facet | Bringmann, Bjoern |
| contents | We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_07352 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations Bringmann, Bjoern Analysis of PDEs Mathematical Physics 35L05 We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates. |
| title | Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations |
| topic | Analysis of PDEs Mathematical Physics 35L05 |
| url | https://arxiv.org/abs/2002.07352 |