Buttazzo, Giuseppe and Nayam, Al-hassem (2013) Stationary Configuration of some Optimal Shaping. arXiv .
Full text not available from this repository.Official URL: http://arxiv.org/abs/1304.4365v1
Abstract
We consider the problem of optimal location of a Dirichlet region in a $d$-dimensional domain $\Omega$ subjected to a given right-hand side $f$ in order to minimize some given functional of the configuration. While in the literature the Dirichlet region is usually taken $d-1$ dimensional, in this shape optimization problems, we consider two classes of control variables, namely the class of one dimensional closed connected sets of finite one dimensional Hausdorff measure and the class of sets of points of finite cardinality, and we give a necessary condition of optimality.
Item Type: | Article |
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Additional Information: | Imported from arXiv |
Subjects: | Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica |
Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA |
Depositing User: | dott.ssa Sandra Faita |
Date Deposited: | 05 Aug 2013 12:49 |
Last Modified: | 05 Aug 2013 12:49 |
URI: | http://eprints.adm.unipi.it/id/eprint/1339 |
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