Asymptotics from scaling for nonlinear wave equations

Details Asymptotics from scaling for nonlinear wave equations Asymptotics from scaling for nonlinear wave equations

2009-07-24

arxiv.org/abs/0907.4287v3

Comm. PDE, 35 (10), pp. 1876-1890 (Oct. 2010)

Physics

Mathematical Physics

14 pages; minor changes (notation, typos)

Scientific paper

10.1080/03605300903540935

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.

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