The Cauchy problem for the wave equation in the Schwarzschild geometry

Kronthaler, Johann (2006) The Cauchy problem for the wave equation in the Schwarzschild geometry. JOURNAL OF MATHEMATICAL PHYSICS, 47 (4): 042501. ISSN 0022-2488,

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Abstract

The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. We derive an integral spectral representation for the solution and prove pointwise decay in time. (c) 2006 American Institute of Physics.

Item Type: Article
Uncontrolled Keywords: SCALAR; PERTURBATIONS; SINGULARITY; STABILITY; COLLAPSE;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Felix Finster
Depositing User: Dr. Gernot Deinzer
Date Deposited: 17 Feb 2021 09:10
Last Modified: 17 Feb 2021 09:10
URI: https://pred.uni-regensburg.de/id/eprint/34747

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