optimal bilinear control of nonlinear hartree equation in r^3

optimal bilinear control of nonlinear hartree equation in r^3

;Binhua Feng;Jiayin Liu;Jun Zheng
icsoft 2006 - 1st international conference on software and data technologies, proceedings 2013 Vol. 2013 pp. 1-14
121
feng2013electronicoptimal

Abstract

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.

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