English

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

Analysis of PDEs 2011-01-07 v2 Mathematical Physics math.MP

Abstract

We prove that in three space dimensions a nonlinear wave equation uttΔu=upu_{tt}-\Delta u = u^p with p7p\geq 7 being an odd integer has a countable family of regular spherically symmetric self-similar solutions.

Keywords

Cite

@article{arxiv.math/0702156,
  title  = {Self-similar solutions of semilinear wave equations with a focusing nonlinearity},
  author = {P. Bizon and D. Maison and A. Wasserman},
  journal= {arXiv preprint arXiv:math/0702156},
  year   = {2011}
}

Comments

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