| Download ( PDF | 738kB) | License: Publishing license for publications including print on demand |
Decay of solutions of the scalar wave equation in the Schwarzschild geometry
Kronthaler, Johann (2007) Decay of solutions of the scalar wave equation in the Schwarzschild geometry. PhD, Universität Regensburg.Date of publication of this fulltext: 19 Jul 2007 12:00
Thesis of the University of Regensburg
DOI to cite this document: 10.5283/epub.10569
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.
Involved Institutions
Details
| 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 |
| ||||
| Keywords | Allgemeine Relativitätstheorie , Schwarzschild-Metrik , Wellengleichung , , general Relativity , Schwarzschild-geometry , wave Equation | ||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-opus-8303 | ||||
| Item ID | 10569 |
Export bibliographical data
Owner only: item control page
Download Statistics
Download Statistics