English

Global well-posedness for the derivative nonlinear Schr\"{o}dinger equation in $H^{\frac 12} (\mathbb{R})$

Analysis of PDEs 2017-01-11 v1

Abstract

We prove that the derivative nonlinear Schr\"{o}dinger equation is globally well-posed in H12(R)H^{\frac 12} (\mathbb{R}) when the mass of initial data is strictly less than 4π4\pi.

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Cite

@article{arxiv.1606.07566,
  title  = {Global well-posedness for the derivative nonlinear Schr\"{o}dinger equation in $H^{\frac 12} (\mathbb{R})$},
  author = {Zihua Guo and Yifei Wu},
  journal= {arXiv preprint arXiv:1606.07566},
  year   = {2017}
}

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8 pages