The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry

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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.
33 pages

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General Relativity and Quantum Cosmology, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/107228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0601131
 http://arxiv.org/abs/gr-qc/0601131
 J.Math.Phys. 47 (2006) 042501
 doi:10.1063/1.2186258

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arXiv