The radial defocusing energy-supercritical cubic nonlinear wave equation in R¹⁺⁵

In this work, we establish a frequency localized version of the classical Morawetz inequality adapted to almost periodic solutions of the defocusing cubic nonlinear wave equation in dimension d = 5. As an application, we conclude that radial solutions to this equation that remain bounded in the critical homogeneous Sobolev space exist globally in time and scatter. (paper)