Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes

@article{Hintz2015SemilinearWE,
  title={Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes},
  author={P. Hintz and A. Vasy},
  journal={Analysis \& PDE},
  year={2015},
  volume={8},
  pages={1807-1890}
}
In this paper we show the small data solvability of suitable semilinear wave and Klein-Gordon equations on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr-de Sitter spaces, as well as asymptotically Minkowski spaces. These spaces allow general infinities, called conformal infinity in the asymptotically de Sitter setting; the Minkowski type setting is that of non-trapping Lorentzian scattering metrics introduced by Baskin, Vasy and Wunsch. Our results are… Expand

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