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2021 Large Time Asymptotics for a Cubic Nonlinear Schrödinger System in One Space Dimension, II
Chunhua LI, Yoshinori NISHII, Yuji SAGAWA, Hideaki SUNAGAWA
Tokyo J. Math. Advance Publication 1-6 (2021). DOI: 10.3836/tjm/1502179340

Abstract

This is a sequel to the paper ``Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension'' by the same authors. We continue to study the Cauchy problem for the two-component system of cubic nonlinear Schrödinger equations in one space dimension. We provide criteria for large time decay or non-decay in $L^2$ of the small amplitude solutions in terms of the Fourier transforms of the initial data.

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Chunhua LI. Yoshinori NISHII. Yuji SAGAWA. Hideaki SUNAGAWA. "Large Time Asymptotics for a Cubic Nonlinear Schrödinger System in One Space Dimension, II." Tokyo J. Math. Advance Publication 1 - 6, 2021. https://doi.org/10.3836/tjm/1502179340

Information

Published: 2021
First available in Project Euclid: 23 March 2021

Digital Object Identifier: 10.3836/tjm/1502179340

Subjects:
Primary: 35Q55
Secondary: 35B40

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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