Strichartz estimate and nonlinear Klein-Gordon on non-trapping scattering space

Junyong Zhang, Jiqiang Zheng

We study the nonlinear Klein-Gordon equation on a product space $M=\mathbb{R}\times X$ with metric $\tilde{g}=d{t}^2-g$ where $g$ is the scattering metic on $X$. We establish the global-in-t…