Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations

被引：93

作者：

Raymond, JP ^{[1
]}

Zidani, H ^{[1
]}

机构：

[1] Univ Toulouse 3, UMR CNRS MIP, F-31062 Toulouse 04, France

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1999年 / 39卷 / 02期

关键词：

optimal control; nonlinear boundary controls; semilinear parabolic equations; Pontryagin's minimum principle; unbounded controls;

D O I：

10.1007/s002459900102

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study optimal control problems governed by semilinear parabolic equations. We obtain necessary optimality conditions in the form of an exact Pontryagin's minimum principle for distributed and boundary controls (which can be unbounded) and bounded initial controls. These optimality conditions are obtained thanks to new regularity results for linear and nonlinear parabolic equations.

引用

页码：143 / 177

页数：35

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