Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915456671023104 |
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| author | Camliyurt, Guher Kenig, Carlos E. |
| author_facet | Camliyurt, Guher Kenig, Carlos E. |
| contents | We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to free waves as $t \to \pm \infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15996 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions Camliyurt, Guher Kenig, Carlos E. Analysis of PDEs We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to free waves as $t \to \pm \infty$. |
| title | Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.15996 |