On the wave operators for the critical nonlinear Schrodinger equation

Details On the wave operators for the critical nonlinear Schrodinger equation On the wave operators for the critical nonlinear Schrodinger equation

2007-02-23

arxiv.org/abs/math/0702694v1

Mathematics

Analysis of PDEs

8 pages

Scientific paper

We prove that for the mass critical nonlinear Schrodinger equations, the wave operators and their inverse are related explicitly in terms of the Fourier transform. We discuss some consequences of this property. In the one-dimensional case, we show a precise similarity between the mass critical nonlinear Schrodinger equation and a nonlinear Schrodinger equation of derivative type.

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