Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866912133173739520 |
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| author | Jézéquel, Malo |
| author_facet | Jézéquel, Malo |
| contents | We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infinity for even asymptotically hyperbolic manifolds with real-analytic ends. Our analysis also gives a similar upper bound on the number of quasinormal frequencies for Schwarzschild-de Sitter spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_06064 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends Jézéquel, Malo Analysis of PDEs Spectral Theory 58J50 We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infinity for even asymptotically hyperbolic manifolds with real-analytic ends. Our analysis also gives a similar upper bound on the number of quasinormal frequencies for Schwarzschild-de Sitter spacetimes. |
| title | Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends |
| topic | Analysis of PDEs Spectral Theory 58J50 |
| url | https://arxiv.org/abs/2209.06064 |