Large data local solutions for the derivative NLS equation

Bejenaru, Ioan, and Tataru, Daniel. "Large data local solutions for the derivative NLS equation." Journal of the European Mathematical Society 010.4 (2008): 957-985. <http://eudml.org/doc/277672>.

@article{Bejenaru2008,
abstract = {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 $n\ge 2$.},
author = {Bejenaru, Ioan, Tataru, Daniel},
journal = {Journal of the European Mathematical Society},
language = {eng},
number = {4},
pages = {957-985},
publisher = {European Mathematical Society Publishing House},
title = {Large data local solutions for the derivative NLS equation},
url = {http://eudml.org/doc/277672},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Bejenaru, Ioan
AU - Tataru, Daniel
TI - Large data local solutions for the derivative NLS equation
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 4
SP - 957
EP - 985
AB - 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 $n\ge 2$.
LA - eng
UR - http://eudml.org/doc/277672
ER -