TY - JOUR
T1 - On the wave operators for the critical nonlinear Schrödinger equation
AU - Carles, Rémi
AU - Ozawa, Tohru
N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2008/1
Y1 - 2008/1
N2 - 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.
AB - 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.
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U2 - 10.4310/MRL.2008.v15.n1.a15
DO - 10.4310/MRL.2008.v15.n1.a15
M3 - Article
AN - SCOPUS:41149125148
VL - 15
SP - 185
EP - 195
JO - Mathematical Research Letters
JF - Mathematical Research Letters
SN - 1073-2780
IS - 1
ER -