OPTIMIZATION PROBLEM WITH VOLUME CONSTRAINT.

N. Aguilera; H. W. Alt; L. A. Caffarelli

doi:10.1137/0324011

OPTIMIZATION PROBLEM WITH VOLUME CONSTRAINT.

N. Aguilera, H. W. Alt, L. A. Caffarelli

University of Minnesota Twin Cities

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

We consider the optimization problem of minimizing Dirichlet integral integral // OMEGA vertical DEL u vertical **2 with volume constraint on the set left brace u greater than 0 right brace . We use a penalization method which for small values of the penalization parameter leads to a solution of the original problem.

Original language	English
Pages (from-to)	191-198
Number of pages	8
Journal	SIAM Journal on Control and Optimization
Volume	24
Issue number	2
DOIs	https://doi.org/10.1137/0324011
State	Published - 1986
Externally published	Yes

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title = "OPTIMIZATION PROBLEM WITH VOLUME CONSTRAINT.",

abstract = "We consider the optimization problem of minimizing Dirichlet integral integral // OMEGA vertical DEL u vertical **2 with volume constraint on the set left brace u greater than 0 right brace . We use a penalization method which for small values of the penalization parameter leads to a solution of the original problem.",

author = "N. Aguilera and Alt, {H. W.} and Caffarelli, {L. A.}",

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PY - 1986

Y1 - 1986

N2 - We consider the optimization problem of minimizing Dirichlet integral integral // OMEGA vertical DEL u vertical **2 with volume constraint on the set left brace u greater than 0 right brace . We use a penalization method which for small values of the penalization parameter leads to a solution of the original problem.

AB - We consider the optimization problem of minimizing Dirichlet integral integral // OMEGA vertical DEL u vertical **2 with volume constraint on the set left brace u greater than 0 right brace . We use a penalization method which for small values of the penalization parameter leads to a solution of the original problem.

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DO - 10.1137/0324011

M3 - Article

AN - SCOPUS:0022677905

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EP - 198

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 2

ER -

OPTIMIZATION PROBLEM WITH VOLUME CONSTRAINT.

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