Control of Cauchy System for an Elliptic Operator

作     者：G. MASSENGO MOPHOU O. NAKOULIMA 

作者机构：Laboratoire de Mathematiques et Informatique Universite des Antilles et de La Guyane Campus Fouillole 97159 Pointe-a-Pitre GUADELOUPE ( FWI) 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2009年第25卷第11期

页      面：1819-1834页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

主　　题：optimal control optimality conditions elliptic systems 

摘      要：The control of a Cauchy system for an elliptic operator seems to be globally an open problem. In this paper, we analyze this problem using a regularization method which consists in viewing a singular problem as a limit of a family of well-posed problems. Following this analysis and assuming that the interior of considered convex is non-empty, we obtain a singular optimality system （S.O.S.） for the considered control problem.