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