State-constrained optimal control of phase-field equations with obstacle

Boundary value problems

Junjun Liu¹  Jiashan Zheng¹  Hao Liu² 

[1] School of Mathematics, Beijing Institute of Technology, Beijing, China;School of Science, University of Science and Technology Liaoning, Anshan, China

关键词: phase-field transition system;    optimal control;    Pontryagin’s maximum principle;   

DOI  :  10.1186/1687-2770-2013-234

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with an optimal control problem for the phase-fieldtransition system with state constraint and obstacle. After showing the relationshipbetween the control problem and its approximation, we derive Pontryagin’smaximum principle for an optimal control of our original problem by using one of theapproximate problems. MSC: 49K20, 49J20, 74N25.

【 授权许可】

CC BY