Geodesic
Asymptotic completeness for superradiant Klein–Gordon equations and applications to the De Sitter–Kerr metric
Journal of the European Mathematical Society, Tome 19 (2017) no. 8, pp. 2371-2444.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/720
Classification : 35-XX, 81-XX
Keywords: Asymptotic completeness, Klein–Gordon equation, De Sitter–Kerr metric, superradiance 
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     author = {Vladimir Georgescu and Christian G\'erard and Dietrich H\"afner},
     title = {Asymptotic completeness for superradiant {Klein{\textendash}Gordon} equations and applications to the {De} {Sitter{\textendash}Kerr} metric},
     journal = {Journal of the European Mathematical Society},
     pages = {2371--2444},
     publisher = {mathdoc},
     volume = {19},
     number = {8},
     year = {2017},
     doi = {10.4171/jems/720},
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Vladimir Georgescu; Christian Gérard; Dietrich Häfner. Asymptotic completeness for superradiant Klein–Gordon equations and applications to the De Sitter–Kerr metric. Journal of the European Mathematical Society, Tome 19 (2017) no. 8, pp. 2371-2444. doi : 10.4171/jems/720. http://geodesic.mathdoc.fr/articles/10.4171/jems/720/

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