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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2404.16173 |
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| _version_ | 1866918032453926912 |
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| author | Al-Essa, Lulwah Majdoub, Mohamed |
| author_facet | Al-Essa, Lulwah Majdoub, Mohamed |
| contents | We investigate the lifespan of solutions to a specific variant of the semilinear wave equation, which incorporates weighted nonlinearity $$ u_{tt}-u_{xx} =|x|^α|u|^p, \quad\mbox{for}\;\;\; (t,x)\in (0,\infty)\times\mathbb{R}, $$ where $p>1$, $α\in\mathbb{R}$. We explore the behavior of solutions for small initial data, considering the influence of weighted nonlinearities on the lifespan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16173 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The lifespan of solutions of semilinear wave equation with weighted nonlinearity Al-Essa, Lulwah Majdoub, Mohamed Analysis of PDEs We investigate the lifespan of solutions to a specific variant of the semilinear wave equation, which incorporates weighted nonlinearity $$ u_{tt}-u_{xx} =|x|^α|u|^p, \quad\mbox{for}\;\;\; (t,x)\in (0,\infty)\times\mathbb{R}, $$ where $p>1$, $α\in\mathbb{R}$. We explore the behavior of solutions for small initial data, considering the influence of weighted nonlinearities on the lifespan. |
| title | The lifespan of solutions of semilinear wave equation with weighted nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2404.16173 |