Large data local solutions for the derivative NLS equation

  • Ioan Bejenaru

    University of Chicago, United States
  • Daniel Tataru

    University of California, Berkeley, USA

Abstract

We consider the Derivative NLS equation with general quadratic nonlinearities. In [2] the first author has proved a sharp small data local well-posedness result in Sobolev spaces with a decay structure at infinity in dimension . Here we prove a similar result for large initial data in all dimensions .

Cite this article

Ioan Bejenaru, Daniel Tataru, Large data local solutions for the derivative NLS equation. J. Eur. Math. Soc. 10 (2008), no. 4, pp. 957–985

DOI 10.4171/JEMS/136