Title: Semilinear hyperbolic systems with blowup at infinity

Authors: Serge Alinhac

Issue: Volume 55 (2006), Issue 3, 1209-1232

Abstract: We investigate semilinear hyperbolic systems in three-space dimensions with quadratic terms in gradient of the solution, not satisfying the null condition. Under some algebraic conditions ensuring global existence for solutions of the reduced systems (the so-called weak null condition of Lindblad and Rodnianski), we prove global existence of classical solutions for these systems.