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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2308.12220 |
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| _version_ | 1866912232425652224 |
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| author | Roy, Tristan Zaag, Hatem |
| author_facet | Roy, Tristan Zaag, Hatem |
| contents | We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given by the solution of the associated ODE which has the same blow-up time. In fact, our result shows an upper bound and a lower bound of the blow-up rate, both proportional to the blow-up solution of the associated ODE. The main difficulty comes from the fact that the PDE is not scaling invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12220 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The blow-up rate for a loglog non-scaling invariant semilinear wave equation Roy, Tristan Zaag, Hatem Analysis of PDEs 35 We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given by the solution of the associated ODE which has the same blow-up time. In fact, our result shows an upper bound and a lower bound of the blow-up rate, both proportional to the blow-up solution of the associated ODE. The main difficulty comes from the fact that the PDE is not scaling invariant. |
| title | The blow-up rate for a loglog non-scaling invariant semilinear wave equation |
| topic | Analysis of PDEs 35 |
| url | https://arxiv.org/abs/2308.12220 |