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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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luanshu: ½ð±Ò+20, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2014-12-09 14:06:06
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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
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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 PlusIFFERENTIAL-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
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»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¢   
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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
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Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 16
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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