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ÔÓÖ¾Ãû£ºNonlinear Analysis: Theory, Methods & Applications ISSN: 0362-546X ÎÄÕÂÃû£ºA new approach to optimal control of ill-posed semilinear elliptic equations in the absence of convexity ×÷ÕßÃû£ºShu Luan ¾í±êÒ³ÂëÄê·Ý£º110: 23¨C32£¬2014 |
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A new approach to optimal control of ill-posed semilinear elliptic equations in the absence of convexity ×÷Õß:Luan, S (Luan, Shu) NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS ¾í: 110 Ò³: 23-32 DOI: 10.1016/j.na.2014.07.013 ³ö°æÄê: NOV 2014 ²é¿´ÆÚ¿¯ÐÅÏ¢ ÕªÒª An optimal control problem governed by a class of ill-posed semilinear elliptic equations in the absence of convexity is studied in this paper. Firstly, by using a variant of the penalization method, the Pontryagin's maximum principle for the initial problem is obtained. Secondly, an existence result is also proved. (C) 2014 Elsevier Ltd. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Optimal control; Semilinear elliptic equations; Ill-posed; Pontryagin's maximum principle KeyWords Plus IFFERENTIAL-EQUATIONS×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Luan, S (ͨѶ×÷Õß) Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China. µØÖ·: [ 1 ] Lingnan Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Guangdong, Peoples R China µç×ÓÓʼþµØÖ·:luans257@yeah.net »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ National Natural Science Foundation of China 11301472 11226246 Foundation for Distinguished Young Talents in Higher Education of Guangdong 2012LYM ²é¿´»ù½ð×ÊÖúÐÅÏ¢ ³ö°æÉÌ PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics, Applied; Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000342386300002 ISSN: 0362-546X µç×Ó ISSN: 1873-5215 ÆäËûÐÅÏ¢ IDS ºÅ: AP9GF Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 16 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 |
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