English

Linear and nonlinear tails II: exact decay rates in spherical symmetry

Mathematical Physics 2011-03-23 v1 General Relativity and Quantum Cosmology math.MP

Abstract

We derive the exact late-time asymptotics for small spherically symmetric solutions of nonlinear wave equations with a potential. The dominant tail is shown to result from the competition between linear and nonlinear effects.

Keywords

Cite

@article{arxiv.0712.0493,
  title  = {Linear and nonlinear tails II: exact decay rates in spherical symmetry},
  author = {Nikodem Szpak and Piotr Bizoń and Tadeusz Chmaj and Andrzej Rostworowski},
  journal= {arXiv preprint arXiv:0712.0493},
  year   = {2011}
}

Comments

17 pages, 3 figures, 2 tables