Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type

27 Feb 2020 · Masaki Satoshi, Sugiyama Koki ·

We consider the decay rate of solutions to nonlinear Klein-Gordon systems with a critical type nonlinearity. We will specify the optimal decay rate for a specific class of Klein-Gordon systems containing the dissipative nonlinearites. It will turn out that the decay rate which is previously found in some models is optimal.