Self-similar solutions of semilinear wave equations with a focusing nonlinearity

Abstract

We prove that in three space dimensions a nonlinear wave equation $u_{tt}-\Delta u=u^p$ with $p\ge 7$ being an odd integer has a countable family of regular spherically symmetric self-similar solutions.

12 pages, 3 figures, minor corrections to match the published version

References in corpus (1)

• On blowup for semilinear wave equations with a focusing nonlinearity

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