A free boundary problem arising in PDE optimization

被引：5

作者：

Buttazzo, Giuseppe ^{[1
]}

Oudet, Edouard ^{[2
]}

Velichkov, Bozhidar ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[2] Univ Grenoble 1, LJK, Tour IRMA, F-38041 Grenoble 9, France

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 54卷 / 04期

关键词：

ELASTIC-PLASTIC TORSION; REGULARITY; EXISTENCE; CREEP; BAR;

D O I：

10.1007/s00526-015-0923-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A free boundary problem arising from the optimal reinforcement of a membrane or from the reduction of traffic congestion is considered; it is of the form We prove the existence of an optimal reinforcement and that it has some higher integrability properties. We also provide some numerical computations for and u.

引用

页码：3829 / 3856

页数：28

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