On some necessary conditions of optimality for a nonlocal variational principle

被引：6

作者：

Muñoz, J ^{[1
]}

机构：

[1] UCLM, ETSI Ind, Ciudad Real 13071, Spain

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 05期

关键词：

optimization; nonlocality; optimality conditions; relaxation;

D O I：

10.1137/S0363012998342829

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of this work is to deduce optimality conditions for a nonlocal variational principle in the one-dimensional scalar case. We consider the relaxation of the problem in terms of Young measures. This relaxation is a new problem where we perform variations to derive optimality conditions, and those conditions yield explicit information about minimizers in the homogeneous case. It also provides a method capable of finding minimizers for some specific problems.

引用

页码：1521 / 1533

页数：13

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[3]

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[4]

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