Large data local solutions for the derivative NLS equation

  • Daniel Tataru

    University of California, Berkeley, USA
  • Ioan Bejenaru

    University of Chicago, United States

Abstract

We consider the Derivative NLS equation with general quadratic nonlinearities. In \cite{be2} 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

Daniel Tataru, Ioan Bejenaru, 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