Sharp Global Well-Posedness and Scattering for the Radial Conformal Nonlinear Wave Equation

Abstract

Abstract In this paper we prove global well-posedness and scattering for the conformal, defocusing, nonlinear wave equation with radial initial data in the critical Sobolev space, for dimensions $d \geq 4$. This result extends a previous result proving sharp scattering in the three dimensional case.