- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:06
Journal of the European Mathematical Society
J. Eur. Math. Soc.
JEMS
1435-9855
1435-9863
General
10.4171/JEMS
http://www.ems-ph.org/doi/10.4171/JEMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
10
2008
4
Large data local solutions for the derivative NLS equation
Ioan
Bejenaru
University of Chicago, CHICAGO, UNITED STATES
Daniel
Tataru
University of California, BERKELEY, UNITED STATES
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 $n \geq 2$.
Partial differential equations
General
957
985
10.4171/JEMS/136
http://www.ems-ph.org/doi/10.4171/JEMS/136