English

Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation

Analysis of PDEs 2013-05-01 v1

Abstract

In this paper we prove that the defocusing, mass - critical generalized KdV initial value problem is globally well-posed and scattering for u0L2(R)u_{0} \in L^{2}(\mathbf{R}). We prove this via a concentration compactness argument.

Keywords

Cite

@article{arxiv.1304.8025,
  title  = {Global well-posedness and scattering for the defocusing, mass - critical generalized KdV equation},
  author = {Benjamin Dodson},
  journal= {arXiv preprint arXiv:1304.8025},
  year   = {2013}
}

Comments

30 pages. arXiv admin note: text overlap with arXiv:0907.5412 by other authors