Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: weak coupling case
arXiv:1907.03516
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