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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Bibliographic Details
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:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/130/abstr.html