Optimal control of semilinear parabolic systems with state constraint

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• 作者：Hanbing Liu^a ; ^{hanbing272003@aliyun.com" class="auth_mail} ; Juan Yang^b
• 关键词：Optimal control ; Semilinear parabolic systems ; Maximum principle ; State constraint
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：15 September 2014
• 年：2014
• 卷：417
• 期：2
• 页码：787-803
• 全文大小：343 K

文摘

The aim of this work is to obtain the existence of optimal solution and maximum principle for optimal control problem with pointwise type state constraint governed by semilinear parabolic systems with certain polynomial-like nonlinearity. Application to optimal control problems of the phase transition system is given.