Variational principles and well-posedness in optimization and calculus of variations

被引：50

作者：

Ioffe, AD ^{[1
]}

Zaslavski, AJ ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 02期

关键词：

calculus of variations; variational principle; existence of solutions; well-posed optimization problem;

D O I：

10.1137/S0363012998335632

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 concluding result of the paper states that variational problems are generically solvable (and even well-posed in a strong sense) without the convexity and growth conditions always present in individual existence theorems. This and some other generic well-posedness theorems are obtained as realizations of a general variational principle extending the variational principle of Deville-Godefroy-Zizler.

引用

页码：566 / 581

页数：16

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