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Large data local solutions for the derivative NLS equation

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

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Ioan Bejenaru, Daniel Tataru. 2006-10-02. Large data local solutions for the derivative NLS equation. https://arxiv.org/abs/math/0610092

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