Large data local solutions for the derivative NLS equation

• Autores: Ioan Bejenaru, Daniel Tataru
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 4, 2008, págs. 957-986
• Idioma: inglés
• DOI: 10.4171/jems/136
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• Resumen

  • 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 $n \geq 2$