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

Benjamin Dodson

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

Analysis of PDEs 2018-09-25 v1

Authors: Benjamin Dodson

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

Keywords

nonlinear wave equation global well-posedness scattering radial data critical sobolev space

Cite

@article{arxiv.1809.08284,
  title  = {Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation},
  author = {Benjamin Dodson},
  journal= {arXiv preprint arXiv:1809.08284},
  year   = {2018}
}

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