Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913648382836736 |
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| author | Roy, Tristan |
| author_facet | Roy, Tristan |
| contents | We prove global existence of solutions of a loglog energy-supercritical Klein-Gordon equation for n=3,4,5. Assuming that blow-up occurs at a time of maximal existence, we perform an analysis close to this time in order to find a finite bound of a Strichartz-type norm, which eventually leads to a contraction with the blow-up assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_03248 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation Roy, Tristan Analysis of PDEs We prove global existence of solutions of a loglog energy-supercritical Klein-Gordon equation for n=3,4,5. Assuming that blow-up occurs at a time of maximal existence, we perform an analysis close to this time in order to find a finite bound of a Strichartz-type norm, which eventually leads to a contraction with the blow-up assumption. |
| title | Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2101.03248 |