article

Title: Stability of large solutions to quasilinear wave equations

Authors: S. Alinhac

Issue: Volume 58 (2009), Issue 6, 2543-2574

Abstract:

$We investigate the stability of (large) global $C^{\infty}$ solutions to quasilinear wave equations satisfying the null condition in $\mathbb{R}_{x}^{3} \times \left[0, {+}\infty \right[$. We give sufficient conditions for such a solution to be stable and have a free representation, and discuss the connection between stability and blowup at infinity. This latter concept is defined using a conformal inversion.$