Optimal bilinear control of nonlinear Hartree equation in R^3

This article concerns with the optimal bilinear control for the nonlinear Hartree equation in $mathbb{R}^3$, which describes the mean-field limit of many-body quantum systems. We show the well-posedness of the problem and the existence of an optimal control. In addition, we derive the first-orde...

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Main Authors:	Binhua Feng, Jiayin Liu, Jun Zheng
Format:	Article
Language:	English
Published:	Texas State University 2013-05-01
Series:	Electronic Journal of Differential Equations
Subjects:	Optimal bilinear control problem nonlinear Hartree equation compactness optimal condition
Online Access:	http://ejde.math.txstate.edu/Volumes/2013/130/abstr.html

id	doaj-70f63f4f78884c068f64e9a672c7b43b
record_format	Article
spelling	doaj-70f63f4f78884c068f64e9a672c7b43b2020-11-24T21:24:29ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-05-012013130,114Optimal bilinear control of nonlinear Hartree equation in R^3Binhua FengJiayin LiuJun ZhengThis article concerns with the optimal bilinear control for the nonlinear Hartree equation in $mathbb{R}^3$, which describes the mean-field limit of many-body quantum systems. We show the well-posedness of the problem and the existence of an optimal control. In addition, we derive the first-order optimality system. http://ejde.math.txstate.edu/Volumes/2013/130/abstr.htmlOptimal bilinear control problemnonlinear Hartree equationcompactnessoptimal condition
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Binhua Feng Jiayin Liu Jun Zheng
spellingShingle	Binhua Feng Jiayin Liu Jun Zheng Optimal bilinear control of nonlinear Hartree equation in R^3 Electronic Journal of Differential Equations Optimal bilinear control problem nonlinear Hartree equation compactness optimal condition
author_facet	Binhua Feng Jiayin Liu Jun Zheng
author_sort	Binhua Feng
title	Optimal bilinear control of nonlinear Hartree equation in R^3
title_short	Optimal bilinear control of nonlinear Hartree equation in R^3
title_full	Optimal bilinear control of nonlinear Hartree equation in R^3
title_fullStr	Optimal bilinear control of nonlinear Hartree equation in R^3
title_full_unstemmed	Optimal bilinear control of nonlinear Hartree equation in R^3
title_sort	optimal bilinear control of nonlinear hartree equation in r^3
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2013-05-01
description	This article concerns with the optimal bilinear control for the nonlinear Hartree equation in $mathbb{R}^3$, which describes the mean-field limit of many-body quantum systems. We show the well-posedness of the problem and the existence of an optimal control. In addition, we derive the first-order optimality system.
topic	Optimal bilinear control problem nonlinear Hartree equation compactness optimal condition
url	http://ejde.math.txstate.edu/Volumes/2013/130/abstr.html
work_keys_str_mv	AT binhuafeng optimalbilinearcontrolofnonlinearhartreeequationinr3 AT jiayinliu optimalbilinearcontrolofnonlinearhartreeequationinr3 AT junzheng optimalbilinearcontrolofnonlinearhartreeequationinr3
_version_	1725987926062399488

Optimal bilinear control of nonlinear Hartree equation in R^3

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