Propagation of Singularity with Normally Hyperbolic Trapping
Analysis of PDEs
2024-12-11 v3
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.
Keywords
Cite
@article{arxiv.2206.04820,
title = {Propagation of Singularity with Normally Hyperbolic Trapping},
author = {Qiuye Jia},
journal= {arXiv preprint arXiv:2206.04820},
year = {2024}
}