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

In this article we will develop some techniques aimed at the strong couplings in two-dimensional wave Klein-Gordon system. We distinguish the roles of different type of decay factors and develop a method which permits us to exchange one type of decay into the other. Then a global existence result of a model problem is established. We also give a sketch of the Klein-Gordon-Zakharov model system and establish the associate global existence result. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This article develops techniques for strong couplings in two-dimensional wave Klein-Gordon systems, distinguishing the roles of different decay factors and developing a method to exchange one type of decay for another. The global existence result of a model problem is established, as well as the global existence result for the Klein-Gordon-Zakharov model system.