The Radial Wave Operator in Similarity Coordinates

Abstract

We present a rigorous functional analytic setting to study the radial wave equation in similarity coordinates. As an application we analyse linear stability of the fundamental self--similar solution of the wave equation with a focusing power nonlinearity.

Minor corrections in order to match the published version

References in corpus (3)

• On blowup for semilinear wave equations with a focusing nonlinearity
• Nonlinear stability of self-similar solutions for semilinear wave equations
• Asymptotics and analytic modes for the wave equation in similarity coordinates

Cited by in corpus (3)

• Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation
• Stable self-similar blowup in energy supercritical Yang-Mills theory
• On stable self-similar blow up for equivariant wave maps