Deutsch
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 data.
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 Anfangsdaten.
| Item Type: | Thesis of the University of Regensburg (PhD) | ||||
|---|---|---|---|---|---|
| Referee: | Felix (Prof. Dr.) Finster | ||||
| Date of exam: | 11 July 2007 | ||||
| Institutions: | Mathematics > Prof. Dr. Felix Finster | ||||
| Classification: |
| ||||
| 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 13:00 | ||||
| Last Modified: | 02 Oct 2012 15:19 | ||||
| Item ID: | 10569 |
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