Open Access
VOL. 47.1 | 2007 On asymptotic behavior of solutions to the fourth order cubic nonlinear Schrödinger type equation
Chapter Author(s) Jun-ichi Segata
Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida
Adv. Stud. Pure Math., 2007: 329-339 (2007) DOI: 10.2969/aspm/04710329

Abstract

We present some results concerning the asymptotic behavior of solutions to the fourth order nonlinear Schrödinger type equation. The nonlinear interaction is the power type one with degree three. We prove the existence of the modified wave operators for this equation.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1146.35087
MathSciNet: MR2387242

Digital Object Identifier: 10.2969/aspm/04710329

Subjects:
Primary: 35B40 , 35Q55

Keywords: higher order dispersive equation , modified wave operators , scattering problem

Rights: Copyright © 2007 Mathematical Society of Japan

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