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VOL. 64 | 2015 Long time behavior of solutions to non-linear Schrödinger equations with higher order dispersion
Jun-ichi Segata

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

We give an asymptotic formulas in time of solutions to the linear Schrödinger equation with third and fourth order dispersions in one space dimension. Then we apply those formulas to drive the long time behavior of solution to the third and the fourth order Schrödinger type equations with the cubic nonlinearity.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35240
MathSciNet: MR3381199

Digital Object Identifier: 10.2969/aspm/06410151

Subjects:
Primary: 35Q55

Rights: Copyright © 2015 Mathematical Society of Japan

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