Finster, Felix and Kamran, N and Smoller, J and Yau, ST (2005) An integral spectral representation of the propagator for the wave equation in the Kerr geometry. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 260 (2). pp. 257-298. ISSN 0010-3616,
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We consider the scalar wave equation in the Kerr geometry for Cauchy data which is smooth and compactly supported outside the event horizon. We derive an integral representation which expresses the solution as a superposition of solutions of the radial and angular ODEs which arise in the separation of variables. In particular, we prove completeness of the solutions of the separated ODEs. This integral representation is a suitable starting point for a detailed analysis of the long-time dynamics of scalar waves in the Kerr geometry.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STABILITY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 04 Mar 2021 10:50 |
| Last Modified: | 04 Mar 2021 10:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/35342 |
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