A Distributed Control Problem for Two Coupled Fluids in a Porous Medium

2015 ◽  
Vol 53 (1) ◽  
pp. 313-335 ◽  
Author(s):  
R. Stavre
Keyword(s):  
Porous Medium ◽  
Control Problem ◽  
Distributed Control ◽  
Distributed Control Problem

OPTIMALITY CONDITIONS FOR COOPERATIVE PARABOLIC SYSTEMS GOVERNED BY SCHRÖDINGER OPERATORS WITH CONTROL CONSTRAINTS

2008 ◽  
Vol 01 (02) ◽  
pp. 131-146 ◽  
Author(s):  
G. M. Bahaa
Keyword(s):  
Control Problem ◽  
Optimality Conditions ◽  
Distributed Control ◽  
Performance Index ◽  
Integral Form ◽  
Parabolic Systems ◽  
Control Problems ◽  
Control Constraints ◽  
Distributed Control Problem ◽  
The Neumann Problem

A distributed control problem for cooperative parabolic systems governed by Schrödinger operator is considered. The performance index is more general than the quadratic one and has an integral form. Constraints on controls are imposed. Making use of the Dubovitskii-Milyutin Theorem given by Walczak (1984, On some control problems Acta Univ. Lod. Folia Math., 1, 187-196), the optimality conditions are derived for the Neumann problem. Finally, several mathematical examples for derived optimality conditions are presented.

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