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arXiv · 1404.1348

Global analysis of quasilinear wave equations on asymptotically Kerr-de Sitter spaces

Peter Hintz·Andras Vasy
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Abstract

We extend the semilinear framework developed by the two authors and the non-trapping quasilinear theory developed by the first author to solve quasilinear wave equations with normally hyperbolic trapping. The most well-known example that fits into our general framework is wave-type equations on Kerr-de Sitter space. The key advance is an adaptation of the Nash-Moser iteration to our framework.

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Peter Hintz, Andras Vasy. 2020-05-27. Global analysis of quasilinear wave equations on asymptotically Kerr-de Sitter spaces. https://doi.org/10.1093/imrn%2Frnv311

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