Finster, Felix and Smoller, Joel (2008) A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 5 (1). pp. 221-255. ISSN 0219-8916,
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The Cauchy problem for the scalar wave equation in the Kerr geometry is considered, with initial data which is smooth and compactly supported outside the event horizon. A time-independent energy estimate for the outgoing wave is obtained. As an application, the outgoing energy for wave-packet initial data is estimated, uniformly as the support of the initial data is shifted to infinity. The main mathematical tool is the previously derived integral representation of the wave propagator.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PERTURBATIONS; EQUATION; scalar wave equation; Kerr geometry; sobolev estimate |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Nov 2020 05:29 |
| Last Modified: | 09 Nov 2020 05:29 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31278 |
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