Contrôle optimal bilinéaire d'une équation de Schrödinger

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• 作者：Cancè ; s ; Eric ; le Bris ; Claude ; Pilot ; Mathieu
• 刊名：Comptes Rendus de l'Academie des Sciences Series I Mathematics
• 出版年：2000
• 出版时间：April 1, 2000
• 年：2000
• 卷：330
• 期：7
• 页码：567-571
• 全文大小：125 K

文摘

We study in this Note a bilinear optimal control problem for a Schrödinger equation with a nonlinearity of Hartree type, which models the behaviour of an atom subjected to an electric field. We show that the time-dependent equation is well posed and that there exists an optimal control.