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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 |
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| 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. |
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