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://ucrisportal.univie.ac.at/en/publications/the-radial-wave-operator-in-similarity-coordinates(7abb2638-119c-4054-9c97-3ead5316673e).html