Propagation of Singularity with Normally Hyperbolic Trapping
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916514771238912 |
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| author | Jia, Qiuye |
| author_facet | Jia, Qiuye |
| contents | We prove microlocal estimates with normally hyperbolic trapping. We use a new type of symbol class which is constructed by blowing up the intersection of the unstable manifold and the fiber infinity. For scalar wave equations on Kerr(-de Sitter) spacetimes, the extra loss of the microlocal estimates compared with the standard propagation of singularities is arbitrarily small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_04820 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Propagation of Singularity with Normally Hyperbolic Trapping Jia, Qiuye Analysis of PDEs We prove microlocal estimates with normally hyperbolic trapping. We use a new type of symbol class which is constructed by blowing up the intersection of the unstable manifold and the fiber infinity. For scalar wave equations on Kerr(-de Sitter) spacetimes, the extra loss of the microlocal estimates compared with the standard propagation of singularities is arbitrarily small. |
| title | Propagation of Singularity with Normally Hyperbolic Trapping |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2206.04820 |