The radial wave operator in similarity coordinates

Author(s)
Roland Donninger
Abstract

We present a rigorous functional analytic setting to study the radial wave equation in similarity coordinates. As an application we analyze linear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity. This is Part 1 in a series of papers [Donninger, R., "Asymptotics and analytic modes for the wave equation in similarity coordinates," J. Evol. Equ. 9, 511 (2009); Donninger, R., " Nonlinear stability of self-similar solutions for semilinear wave equations," Commun. Partial Differ. Equ.].

Organisation(s)
Gravitational Physics
Journal
Journal of Mathematical Physics
Volume
51
No. of pages
10
ISSN
0022-2488
DOI
https://doi.org/10.1063/1.3299302
Publication date
2010
Peer reviewed
Yes
Austrian Fields of Science 2012
1010 Mathematics, 1030 Physics, Astronomy
Portal url
https://ucris.univie.ac.at/portal/en/publications/the-radial-wave-operator-in-similarity-coordinates(7abb2638-119c-4054-9c97-3ead5316673e).html