Quadratic Nonlinear Derivative Schrödinger Equations - Part 2

Details Quadratic Nonlinear Derivative Schrödinger Equations - Part 2 Quadratic Nonlinear Derivative Schrödinger Equations - Part 2

2006-02-27

arxiv.org/abs/math/0602600v2

Mathematics

Analysis of PDEs

a typo in the statement of the main theorem has been corrected

Scientific paper

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.

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