Quadratic Nonlinear Derivative Schrödiger Equations - Part 1

Ioan Bejenaru

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Quadratic Nonlinear Derivative Schrödiger Equations - Part 1

Ioan Bejenaru

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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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Ioan Bejenaru. 2005-12-01. Quadratic Nonlinear Derivative Schrödiger Equations - Part 1. https://arxiv.org/abs/math/0512041

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