ヤマザキ ノリアキ   Yamazaki Noriaki
  山崎 教昭
   所属   神奈川大学  工学部 数学教室
    神奈川大学大学院  工学研究科 工学専攻(応用物理学領域)
   職種   教授
言語種別 英語
発行・発表の年月 2017
形態種別 学術雑誌
標題 Lagrange multiplier and singular limit of double-obstacle problems for the Allen--Cahn equation with constraint
執筆形態 共著
掲載誌名 Mathematical Methods in the Applied Sciences
掲載区分国外
出版社・発行元 John Wiley & Sons Ltd
巻・号・頁 40(1),pp.5-21
著者・共著者 M.H. Farshbaf-Shaker
概要 We study the properties of the Lagrange multiplier for an Allen-Cahn equation with a double obstacle potential. Here, the dynamic boundary condition, including the Laplace-Beltrami operator on the boundary, is investigated. We then establish the singular limit of our system and clarify the limit of the solution and the Lagrange multiplier of our problem. We present remarks on a trace problem as well as on the Neumann boundary condition. Moreover, we describe a numerical experiment for a problem with Neumann boundary condition using the Lagrange multiplier.