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

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

2007-02-06

arxiv.org/abs/math/0702156v2

Nonlinearity 20, 2061 (2007)

Mathematics

Analysis of PDEs

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

Scientific paper

10.1088/0951-7715/20/9/003

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

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