The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry

Kronthaler, Johann (2006) The Cauchy Problem for the Wave Equation in the Schwarzschild Geometry. Journal of Mathematical Physics 47 (4), 042501-042529.

[img]
Preview

PDF (preprint) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
395Kb

Other URL: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JMAPAQ000047000004042501000001&idtype=cvips&gifs=Yes

Abstract

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.

Item Type:Article
Institutions: Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
10.1063/1.2186258DOI
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner:Ute Lange
Deposited On:06 Dec 2006
Last Modified:08 Oct 2012 08:24
Item ID:557
Owner Only: item control page