Scattering for a massless critical nonlinear wave equation in 2 space dimensions

TL;DR

This paper proves scattering for a massless critical nonlinear wave equation in two dimensions by combining conformal inversion with decay estimates, advancing understanding of wave behavior at criticality.

Contribution

It introduces a novel approach that combines conformal inversion with decay estimates to establish scattering in a critical 2D wave equation.

Findings

Established scattering for the critical massless wave equation in 2D

Combined conformal inversion with decay estimates effectively

Extended previous global existence results to scattering context

Abstract

We prove scattering for a massless wave equation which is critical in two space dimensions. Our method combines conformal inversion with decay estimates from Struwe's previous work on global existence of a similar equation.