Quadratic Nonlinear Derivative Schr\"odinger Equations - Part 2
Analysis of PDEs
2007-05-23 v2
Abstract
In this paper we consider the local well-posedness theory for the quadratic nonlinear Schr\"odinger equation with low regularity initial data in the case when the nonlinearity contains derivatives. We work in 2+1 dimensions and prove a local well-posedness result close to scaling for small initial data.
Keywords
Cite
@article{arxiv.math/0602600,
title = {Quadratic Nonlinear Derivative Schr\"odinger Equations - Part 2},
author = {Ioan Bejenaru},
journal= {arXiv preprint arXiv:math/0602600},
year = {2007}
}
Comments
a typo in the statement of the main theorem has been corrected