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On an optimal control problem for a parabolic inclusion

Published online by Cambridge University Press:  22 January 2016

Bui an Ton
Bui an Ton*
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, V6T 1Z2, Canada, e-mail: bui@math.ubc.ca
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Let H, U be two real Hilbert spaces and let g be a proper lower semi-continuous convex function from L2 (0, T;H) into R+. For each t in [0, T], let φ(t,.) be a proper l.s.c. convex function from H into R with effective domain Dφ(t,.)) and let h be a l.s.c. convex function from a closed convex subset u of U into L2(0, T;H) with

for all u in U. The constants γ and C are positive.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 143 , September 1996 , pp. 195 - 217
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

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