Global well-posedness of the defocusing nonlinear wave equation outside of a ball with radial data for $3<p<5$

Guixiang Xu, Pengxuan Yang, Zhuohui You

We continue the study of the Dirichlet boundary value problem of nonlinear wave equation with radial data in the exterior $\Omega ={\mathbb{R}}^3\backslash \bar{B}(0,1)$. We combine the d…