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Asymptotics from scaling for nonlinear wave equations

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Szpak,  Nikodem
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szpak, N. (2010). Asymptotics from scaling for nonlinear wave equations. Communications in Partial Differential Equations, 35(10), 1876-1890. doi:http://dx.doi.org/10.1080/03605300903540935.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-60AB-F
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.