Second-order necessary optimality conditions for domain optimization problems of the Neumann type (Q1122772)
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scientific article; zbMATH DE number 4107550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second-order necessary optimality conditions for domain optimization problems of the Neumann type |
scientific article; zbMATH DE number 4107550 |
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Second-order necessary optimality conditions for domain optimization problems of the Neumann type (English)
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1990
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In this paper, we treat a domain optimization problem in which the boundary-value problem is a Neumann problem. In the case where the domain \(\Omega\) is in a three-dimensional Euclidean space, the first-order and the second-order necessary conditions which the optimal domain must satisfy are derived under a constraint which is the generalization of the requisite of constant volume.
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domain optimization problem
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Neumann problem
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first-order and the second- order necessary conditions
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