A better bound on blow-up rate for the superconformal semilinear wave equation
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915140646993920 |
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| author | Hamza, Mohamed Ali Zaag, Hatem |
| author_facet | Hamza, Mohamed Ali Zaag, Hatem |
| contents | We consider the semilinear wave equation in higher dimensions with superconformal power nonlinearity. The purpose of this paper is to give a new upper bound on the blow-up rate in some space-time integral, showing a $|\log(T-t)|^q$ improvement in comparison with previous results obtained in \cite{HZdcds13,KSVsurc12}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18611 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A better bound on blow-up rate for the superconformal semilinear wave equation Hamza, Mohamed Ali Zaag, Hatem Analysis of PDEs 35L05, 35L67, 35B20 superconformal exponent We consider the semilinear wave equation in higher dimensions with superconformal power nonlinearity. The purpose of this paper is to give a new upper bound on the blow-up rate in some space-time integral, showing a $|\log(T-t)|^q$ improvement in comparison with previous results obtained in \cite{HZdcds13,KSVsurc12}. |
| title | A better bound on blow-up rate for the superconformal semilinear wave equation |
| topic | Analysis of PDEs 35L05, 35L67, 35B20 superconformal exponent |
| url | https://arxiv.org/abs/2405.18611 |