We prove global well-posedness and scattering for the defocusing cubic nonlinear wave equation on with radial initial data lying in the critical Sobolev space . This result is sharp for radial initial data.
"Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space." Duke Math. J. 170 (15) 3267 - 3321, 15 October 2021. https://doi.org/10.1215/00127094-2021-0052