Asymptotics from Scaling for Nonlinear Wave Equations

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS(2010)

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摘要
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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关键词
Late-time asymptotics,Nonlinear wave equations,Scaling
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