Geodesic
Large data local solutions for the derivative NLS equation
Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 957-985.

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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 n=2. Here we prove a similar result for large initial data in all dimensions n≥2.
DOI : 10.4171/jems/136
Classification : 35-XX, 00-XX 
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     author = {Ioan Bejenaru and Daniel Tataru},
     title = {Large data local solutions for the derivative {NLS} equation},
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Ioan Bejenaru; Daniel Tataru. Large data local solutions for the derivative NLS equation. Journal of the European Mathematical Society, Tome 10 (2008) no. 4, pp. 957-985. doi : 10.4171/jems/136. http://geodesic.mathdoc.fr/articles/10.4171/jems/136/

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