Differential and Integral Equations

On a system of nonlinear Schrödinger equations in 2d

Nakao Hayashi, Chunhua Li, and Pavel I. Naumkin

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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.

Article information

Differential Integral Equations, Volume 24, Number 5/6 (2011), 417-434.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B40: Asymptotic behavior of solutions 35B40: Asymptotic behavior of solutions


Hayashi, Nakao; Li, Chunhua; Naumkin, Pavel I. On a system of nonlinear Schrödinger equations in 2d. Differential Integral Equations 24 (2011), no. 5/6, 417--434. https://projecteuclid.org/euclid.die/1356018911

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