On a system of nonlinear Schrödinger equations in 2D

Nakao Hayashi; Chunhua Li; Pavel I. Naumkin

On a system of nonlinear Schrödinger equations in 2D

Nakao Hayashi, Chunhua Li, Pavel I. Naumkin

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions. Our aim is to show time decay estimates of small solutions and nonexistence of the usual scattering states for a system. Furthermore we prove stability in time of small solutions in the neighborhood of solutions to a suitable approximate equation.

Original language	English
Pages (from-to)	417-434
Number of pages	18
Journal	Differential and Integral Equations
Volume	24
Issue number	5-6
Publication status	Published - 2011 May
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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abstract = "We consider a system of nonlinear Schr{\"o}dinger equations with quadratic nonlinearities in two space dimensions. Our aim is to show time decay estimates of small solutions and nonexistence of the usual scattering states for a system. Furthermore we prove stability in time of small solutions in the neighborhood of solutions to a suitable approximate equation.",

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AU - Hayashi, Nakao

AU - Li, Chunhua

AU - Naumkin, Pavel I.

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On a system of nonlinear Schrödinger equations in 2D

Abstract

ASJC Scopus subject areas

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