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
Keywords:
asymptotic behavior
,
Higher order Schrödinger type equation
Rights: Copyright © 2015 Mathematical Society of Japan
