Blow up and lifespan estimates for systems of semi-linear wave equations with dampings and potentials
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866918284348096512 |
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| author | Liu, Mengliang |
| author_facet | Liu, Mengliang |
| contents | In this paper, we consider the semi-linear wave systems with power-nonlinearities and space-dependent dampings and potentials. We obtain the blow-up regions for three types wave systems as well as the lifespan estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_02920 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Blow up and lifespan estimates for systems of semi-linear wave equations with dampings and potentials Liu, Mengliang Analysis of PDEs 58J45, 58J05, 35L71, 35B40, 35B33, 35B44, 35B09, 35L05 In this paper, we consider the semi-linear wave systems with power-nonlinearities and space-dependent dampings and potentials. We obtain the blow-up regions for three types wave systems as well as the lifespan estimates. |
| title | Blow up and lifespan estimates for systems of semi-linear wave equations with dampings and potentials |
| topic | Analysis of PDEs 58J45, 58J05, 35L71, 35B40, 35B33, 35B44, 35B09, 35L05 |
| url | https://arxiv.org/abs/2209.02920 |