Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric
Résumé
We show asymptotic completeness for a class of superradiant Klein-Gordon equations. Our results are applied to the Klein-Gordon equation on the De Sitter Kerr metric with small angular momentum of the black hole. For this equation we obtain asymptotic completeness for fixed angular momentum of the field.
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