Asymptotics from scaling for nonlinear wave equations
Mathematical Physics
2011-03-23 v3 Analysis of PDEs
math.MP
Abstract
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation with small initial data to a linear wave equation with a distributional source. The exact solution of the latter uniformly approximates the late-time behavior of solutions of the nonlinear problem in timelike and null directions.
Keywords
Cite
@article{arxiv.0907.4287,
title = {Asymptotics from scaling for nonlinear wave equations},
author = {Nikodem Szpak},
journal= {arXiv preprint arXiv:0907.4287},
year = {2011}
}
Comments
14 pages; minor changes (notation, typos)