Global well-posedness of the radial conformal nonlinear wave equation with initial data in a critical space

TL;DR

This paper proves global well-posedness and scattering for the radial conformal nonlinear wave equation with initial data in a critical Besov space, establishing stability and long-term behavior of solutions.

Contribution

It establishes the first global well-posedness and scattering results for this class of equations with initial data in a critical Besov space.

Findings

Global well-posedness for radial conformal nonlinear wave equation

Scattering results with polynomial bounds on scattering norm

Extension of results to critical Besov space initial data

Abstract

In this note we prove global well-posedness and scattering for the conformal, defocusing, nonlinear wave equation with radial initial data in a critical Besov space. We also prove a polynomial bound on the scattering norm.