The radial wave operator in similarity coordinates

Autor(en)

Roland Donninger

Abstrakt

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(en)

Gravitationsphysik

Journal

Journal of Mathematical Physics

Band

51

Anzahl der Seiten

10

ISSN

0022-2488

DOI

https://doi.org/10.1063/1.3299302

Publikationsdatum

2010

Peer-reviewed

Ja

ÖFOS 2012

1010 Mathematik, 1030 Physik, Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/7abb2638-119c-4054-9c97-3ead5316673e