Value function and optimality condition for semilinear control problems .2. Parabolic case

被引：14

作者：

Cannarsa, P ^{[1
]}

Frankowska, H ^{[1
]}

机构：

[1] UNIV PARIS 09,CEREMADE,CNRS,F-75775 PARIS 16,FRANCE

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1996年 / 33卷 / 01期

关键词：

optimal control; value function; analytic semigroups; semiconcave functions; distributed parameter systems;

D O I：

10.1007/BF01187960

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we continue to study properties of the value function and of optimal solutions of a semilinear Mayer problem in infinite dimensions. Applications concern systems governed by a state equation of parabolic type. In particular, the issues of the joint Lipschitz continuity and semiconcavity of the value function are treated in order to investigate the differentiability of the value function along optimal trajectories.

引用

页码：1 / 33

页数：33

共 22 条

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[Anonymous], PROBLEMES AUX LIMITE

[2]

BARBU V, 1982, HAMILTON JACOBI EQUA

[3]

CANNARSA P, 1990, CR ACAD SCI I-MATH, V310, P179

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