# Large data local solutions for the derivative NLS equation

Journal of the European Mathematical Society (2008)

- Volume: 010, Issue: 4, page 957-985
- ISSN: 1435-9855

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topBejenaru, 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 -

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