Propagation of Singularity with Normally Hyperbolic Trapping

Qiuye Jia

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arXiv · 2206.04820

Propagation of Singularity with Normally Hyperbolic Trapping

Qiuye Jia

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Abstract

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.

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Qiuye Jia. 2022-06-10. Propagation of Singularity with Normally Hyperbolic Trapping. https://arxiv.org/abs/2206.04820

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