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

Benjamin Dodson

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arXiv · 1809.08284

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

Benjamin Dodson

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Abstract

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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Benjamin Dodson. 2018-09-21. Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation. https://arxiv.org/abs/1809.08284

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