On the wave operators for the critical nonlinear Schrödinger equation

Rémi Carles, Tohru Ozawa

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 languageEnglish
Pages (from-to)185-195
Number of pages11
JournalMathematical Research Letters
Volume15
Issue number1
Publication statusPublished - 2008 Jan
Externally publishedYes

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Wave Operator
Nonlinear Equations
Fourier transform
Derivative

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the wave operators for the critical nonlinear Schrödinger equation. / Carles, Rémi; Ozawa, Tohru.

In: Mathematical Research Letters, Vol. 15, No. 1, 01.2008, p. 185-195.

Research output: Contribution to journal › Article

Carles, R & Ozawa, T 2008, 'On the wave operators for the critical nonlinear Schrödinger equation', Mathematical Research Letters, vol. 15, no. 1, pp. 185-195.
Carles R, Ozawa T. On the wave operators for the critical nonlinear Schrödinger equation. Mathematical Research Letters. 2008 Jan;15(1):185-195.
Carles, Rémi ; Ozawa, Tohru. / On the wave operators for the critical nonlinear Schrödinger equation. In: Mathematical Research Letters. 2008 ; Vol. 15, No. 1. pp. 185-195.
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