On the wave operators for the critical nonlinear Schrödinger equation

Rémi Carles; Tohru Ozawa

doi:10.4310/MRL.2008.v15.n1.a15

On the wave operators for the critical nonlinear Schrödinger equation

Rémi Carles, Tohru Ozawa

School of Advanced Science and Engineering

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

We prove that for the L²-critical nonlinear Schrödinger 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 L ²-critical nonlinear Schrödinger equation and a nonlinear Schrödinger equation of derivative type.

Original language	English
Pages (from-to)	185-195
Number of pages	11
Journal	Mathematical Research Letters
Volume	15
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2008.v15.n1.a15
Publication status	Published - 2008 Jan

ASJC Scopus subject areas

Mathematics(all)

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Carles, R., & Ozawa, T. (2008). On the wave operators for the critical nonlinear Schrödinger equation. Mathematical Research Letters, 15(1), 185-195. https://doi.org/10.4310/MRL.2008.v15.n1.a15

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