Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces

نویسندگان

  • PETER HINTZ
  • ANDRAS VASY
چکیده

We extend the semilinear framework developed by the two authors in [29] and the non-trapping quasilinear theory developed by the first author [27] to solve quasilinear wave equations with normally hyperbolic trapping. The most well-known example that fits into our general framework is wavetype equations on Kerr-de Sitter space. The key advance is an adaptation of the Nash-Moser iteration to our framework.

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تاریخ انتشار 2014