Nikodem Szpak
Published 2009-07-24, updated 2011-01-23Version 3
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.
Comments: 14 pages; minor changes (notation, typos)
Journal: Comm. PDE, 35 (10), pp. 1876-1890 (Oct. 2010)
Nonlinear wave equation, nonlinear Riemann problem, and the twistor transform of Veronese webs
Global classical solutions of the Vlasov-Darwin system for small initial data
Invariant solutions of a nonlinear wave equation with a small dissipation obtained via approximate symmetries
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