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SIAM J. on Control and Optimization / Volume 50 / Issue 1

SIAM J. Control Optim. 50, pp. 222-242 (21 pages)

Some Compact Classes of Open Sets under Hausdorff Distance and Application to Shape Optimization

Bao-Zhu Guo and Dong-Hui Yang

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In this paper, we introduce three new classes of open sets in a general Euclidean space $\mathbb{R}^N$. It is shown that every class of open sets is compact under the Hausdorff distance. The result is then applied to a shape optimization problem of elliptic equation. The existence of the optimal solution is presented.

© 2012 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

35J05, 49R50, 49Q10

PUBLICATION DATA

ISSN

0363-0129 (print)  
1095-7138 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received March 21, 2011
Accepted October 24, 2011
Published online January 19, 2012
Digital Object Identifier
http://dx.doi.org/10.1137/110828058

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