The radial defocusing energy-supercritical cubic nonlinear wave equation in $\mathbb{R}^{{\sf 1}+{\sf 5}}$
The radial defocusing energy-supercritical cubic nonlinear wave equation in $\mathbb{R}^{{\sf 1}+{\sf 5}}$
In this work, we consider the energy-supercritical defocusing cubic nonlinear wave equation in dimension d = 5 for radially symmetric initial data.We prove that an a priori bound in the critical space implies global wellposedness and scattering.The main tool that we use is a frequency localized version of the classical …