研究者情報 | 神奈川大学

ヤマザキ　ノリアキ Yamazaki Noriaki 山崎　教昭所属神奈川大学情報学部システム数理学科神奈川大学大学院工学研究科工学専攻（情報システム創成領域）職種教授
言語種別	英語
発行・発表の年月	2012
形態種別	学術雑誌
査読	査読あり
標題	Optimal control problem for Allen-Cahn type equation associated with total variation energy
執筆形態	共著
掲載誌名	Discrete and Continuous Dynamical Systems, Series S
出版社・発行元	AIMS
巻・号・頁	5,pp.159-181
著者・共著者	T. Ohtsuka and K. Shirakawa
概要	In this paper we study an optimal control problem for a singular diusion equation associated with total variation energy. The singular diusion equation is derived as an Allen-Cahn type equation, and then the observing optimal control problem corresponds to a temperature control problem in the solid-liquid phase transition. We show the existence of an optimal control for our singular diusion equation by applying the abstract theory. Next we consider our optimal control problem from the view-point of numerical analysis. In fact we consider the approximating problem of our equation, and we show the relationship between the original control problem and its approximating one. Moreover we show the necessary condition of an approximating optimal pair, and give a numerical experiment of our approximating control problem.