Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions

Abstract

In this paper we prove global existence and global behavior of solutions to quasilinear wave-Klein-Gordon systems in ${\mathbb{R}}^{1+2}$ with quadratic nonlinearities satisfying the null condition. We consider small, regular and compactly supported initial data, and prove global existence, pointwise decay estimates and linear scattering for the solutions.

28 pages