Go to content
UR Home

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

License: Publishing license for publications including print on demand
Download (738kB)

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 ...


Export bibliographical data

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
Keywords:Allgemeine Relativitätstheorie , Schwarzschild-Metrik , Wellengleichung , , general Relativity , Schwarzschild-geometry , wave Equation
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited On:27 Oct 2009 12:00
Last Modified:13 Mar 2014 11:47
Item ID:10569
Owner Only: item control page


Downloads per month over past year

  1. Homepage UR

University Library

Publication Server

Contact person
Gernot Deinzer

Phone +49 941 943-2759