Quadratic Nonlinear Derivative Schr\"odiger Equations - Part 1
Analysis of PDEs
2007-05-23 v1
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 up to the scaling for small initial data with some spherical symmetry structure.
Keywords
Cite
@article{arxiv.math/0512041,
title = {Quadratic Nonlinear Derivative Schr\"odiger Equations - Part 1},
author = {Ioan Bejenaru},
journal= {arXiv preprint arXiv:math/0512041},
year = {2007}
}