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Decay of solutions of the scalar wave equation in the Schwarzschild geometry

URN to cite this document: urn:nbn:de:bvb:355-opus-8303

Kronthaler, Johann (2007) Decay of solutions of the scalar wave equation in the Schwarzschild geometry. PhD, Universität Regensburg

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Abstract (English)

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. We also develop and prove the exact decay rate for spherical symmetric initial ...

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Translation of the abstract (German)

Es wird das Cauchy-Problem der skalaren Wellengleichung in der Schwarzschild-Geometrie betrachtet. Wir leiten eine Integraldarstellung für die Lösung her und beweisen für festen Ort Abfall in der Zeit. Anschließend entwickeln und beweisen wir die exakte Abfallrate für sphärisch symmetrische ...

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Item Type:Thesis of the University of Regensburg (PhD)
Date:18 July 2007
Referee:Felix (Prof. Dr.) Finster
Date of exam:11 July 2007
Institutions:Mathematics > Prof. Dr. Felix Finster
Classification:
NotationType
35Q75MSC
Keywords:Allgemeine Relativitätstheorie , Schwarzschild-Metrik , Wellengleichung , , general Relativity , Schwarzschild-geometry , wave Equation
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:27 Oct 2009 12:00
Last Modified:13 Mar 2014 11:47
Item ID:10569
Owner Only: item control page

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