Fractional Schrodinger equations with potential and optimal controls

被引：61

作者：

Wang, JinRong ^{[2
]}

Zhou, Yong ^{[1
]}

Wei, Wei ^{[2
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

[2] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractional Schrodinger equations; Potential; Mild solutions; Existence; Local stability and attractivity; Optimal controls; EVOLUTION-EQUATIONS; ORBITAL STABILITY; SOLITARY WAVES; EXISTENCE;

D O I：

10.1016/j.nonrwa.2012.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study fractional Schrodinger equations with potential and optimal controls. The first novelty is a suitable concept on a mild solution for our problems. Existence, uniqueness, local stability and attractivity, and data continuous dependence of mild solutions are also presented respectively. The second novelty is an initial study on the optimal control problems for the controlled fractional Schrodinger equations with potential. Existence and uniqueness of optimal pairs for the standard Lagrange problem are obtained. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2755 / 2766

页数：12

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