Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: weak coupling case

Abstract

In this article we will prove the global existence of a type of wave-Klein-Gordon system in $2+1$ spacetime dimension. Some technical tools such as conformal energy estimate on hyperboloid, normal form transform on Klein-Gordon equations will be adapted to this $2+1$ dimensional case.

48 pages

References in corpus (2)

• An intrinsic hyperboloid approach for Einstein Klein-Gordon equations
• A conformal-type energy inequality on hyperboloids and its application to quasi-linear wave equation in ${\mathbb{R}}^{3+1}$

Cited by in corpus (2)

• Global solution to the wave and Klein-Gordon system under null condition in dimension two
• Global Existence and Scattering of the Klein-Gordon-Zakharov System in Two Space Dimensions