English

Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data

Analysis of PDEs 2017-06-28 v5 Mathematical Physics math.MP

Abstract

We prove global well-posedness for the 3D3D radial defocusing cubic wave equation with data in Hs×Hs1H^{s} \times H^{s-1}, 1>s>7/101>s>{7/10}.

Keywords

Cite

@article{arxiv.0708.2299,
  title  = {Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data},
  author = {Tristan Roy},
  journal= {arXiv preprint arXiv:0708.2299},
  year   = {2017}
}

Comments

23 pages. Update