On the Global Well-Posedness and Orbital Stability of Standing Waves for the Schrödinger Equation with Fractional Dissipation

In this paper, we are concerned with the nonlinear fractional Schrödinger equation. We extend the result of Guo and Huo and prove that the Cauchy problem of the nonlinear fractional Schrödinger equation is global well-posed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/Ma...

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Bibliographic Details

Published in:	Fractal and Fractional
Main Authors:	Jingqun Wang, Jiangen Liu, Lixin Tian
Format:	Article
Language:	English
Published:	MDPI AG 2023-07-01
Subjects:	dissipative Schrödinger equation iterative scheme global well-posedness orbital stability
Online Access:	https://www.mdpi.com/2504-3110/7/7/531