Large data local solutions for the derivative NLS equation
Daniel Tataru
University of California, Berkeley, USAIoan 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