Global Regularity for Supercritical Nonlinear Dissipative Wave Equations in 3D

Kyouhei Wakasa, Borislav Yordanov

The nonlinear wave equation $u_{tt}-\Delta u+|u_t{|}^{p-1}{u}_t=0$ is shown to be globally well-posed in the Sobolev spaces of radially symmetric functions $H^k_{\rm rad}({\bf R}^3)\times H…