ON THE EXISTENCE OF SOLUTION FOR AN INVERSE PROBLEM

被引：0

作者：

Tajani, C. ^{[1
]}

Abouchabaka, J. ^{[1
]}

Samouh, N. ^{[2
]}

机构：

[1] Ibn Tofail Univ, Fac Sci, Dept Math & Infirmat, Kenitra, Morocco

[2] Moulay Ismail Univ, Fac Sci, Dept Math, Meknes, Morocco

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2013年 / 3卷 / 01期

关键词：

Inverse problem; Boundary detection problem; Shape optimization; Laplace equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a boundary detection problem. We present physical motivations. We formulate the problem as a shape optimization problem by introducing the Neumann condition of the accessible part in a cost functional to be minimized, which complicates the study of continuity state that requires more regularity of the free boundary. We show the existence of the optimal solution of the problem by the J. Haslinger and P. Neittaanmaki principle.

引用

页码：33 / 45

页数：13

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