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Propagation of Singularity with Normally Hyperbolic Trapping

Jia, Qiuye
arXiv (All) · Papers
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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
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