Quadratic Nonlinear Derivative Schrödinger Equations - Part 2

Ioan Bejenaru

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Quadratic Nonlinear Derivative Schrödinger Equations - Part 2

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 close to scaling for small initial data.

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Ioan Bejenaru. 2006-03-03. Quadratic Nonlinear Derivative Schrödinger Equations - Part 2. https://arxiv.org/abs/math/0602600

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