In this paper we prove global well-posedness and scattering for the defocusing, cubic, nonlinear wave equation on $\mathbf{R}^{1 + 3}$ with radial initial data lying in the critical Sobolev space $\dot{H}^{1/2}(\mathbf{R}^{3}) \times \dot{H}^{-1/2}(\mathbf{R}^{3})$.
Global well-posedness for the radial, defocusing, nonlinear wave equation for $3 < p < 5$
Global well-posedness and scattering for defocusing, cubic NLS in $\mathbb{R}^3$
Probabilistic local well-posedness of the cubic nonlinear wave equation in negative Sobolev spaces
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