2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79669We prove global existence for semilinear hyperbolic equations that satisfy the null condition of Christodoulou and Klainerman in the exterior of convex domains. We use a combination of the conformal method of Christodoulou and the direct method of Klainerman.To appear in American Journal of MathematicsAnalysis of PDEsClassical Analysis and ODEs35L70; 42B99On Global existence for nonlinear wave equations outside of convex obstaclestext