Quadratic Nonlinear Derivative Schrödiger Equations - Part 1

2005/12/01 by Ioan Bejenaru, Bejenaru, Ioan
Mathematics · #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K55

paper · pdf · doi:10.48550/arxiv.math/0512041

arxiv created 2005/12/01 · arxiv updated 2009/12/01

Abstract

In this paper we consider the local well-posedness theory for the quadratic nonlinear Schrödinger 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.

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