Global well-posedness for a system of quasilinear wave equations on a product space
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866910538259234816 |
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| author | Huneau, Cécile Stingo, Annalaura |
| author_facet | Huneau, Cécile Stingo, Annalaura |
| contents | We consider a system of quasilinear wave equations on the product space $\mathbb{R}^{1+3}\times \mathbb{S}^1$, which we want to see as a toy model for Einstein equations with additional compact dimensions. We show global existence for small and regular initial data with polynomial decay at infinity. The method combines energy estimates on hyperboloids inside the light cone and weighted energy estimates outside the light cone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_13982 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Global well-posedness for a system of quasilinear wave equations on a product space Huneau, Cécile Stingo, Annalaura Analysis of PDEs We consider a system of quasilinear wave equations on the product space $\mathbb{R}^{1+3}\times \mathbb{S}^1$, which we want to see as a toy model for Einstein equations with additional compact dimensions. We show global existence for small and regular initial data with polynomial decay at infinity. The method combines energy estimates on hyperboloids inside the light cone and weighted energy estimates outside the light cone. |
| title | Global well-posedness for a system of quasilinear wave equations on a product space |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2110.13982 |