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Asymptotics from scaling for nonlinear wave equations

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arxiv 0907.4287 v3 pith:HGEENHFU submitted 2009-07-24 math-ph math.APmath.MP

classification math-phmath.APmath.MP
keywords nonlinearwaveequationproblemscalingapproximatesasymptoticsbehavior
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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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Cited by 1 Pith paper

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  1. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

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