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arxiv: 1809.08284 · v1 · submitted 2018-09-21 · 🧮 math.AP

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Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation

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keywords mathbfcubicdefocusingequationglobalnonlinearradialscattering
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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 $\dot{H}^{1/2}(\mathbf{R}^{3}) \times \dot{H}^{-1/2}(\mathbf{R}^{3})$.

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