Large data local solutions for the derivative NLS equation

Details Large data local solutions for the derivative NLS equation Large data local solutions for the derivative NLS equation

2006-10-02

arxiv.org/abs/math/0610092v1

Mathematics

Analysis of PDEs

Scientific paper

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 $n = 2$. Here we prove a similar result for large initial
data in all dimensions $n \geq 2$.

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