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State constrained control problems for parabolic systems: Regularity of optimal solutions
Authors:Irena Lasiecka
Institution:(1) Department of System Science, University of California, 90024 Los Angeles, CA, USA
Abstract:Quadratic control problems for parabolic equations withstate constraints are considered. Regularity (smoothness) of the optimal solution is investigated. It is shown that the optimal control is continuous in time with the values inL 2(OHgr) and its time derivative belongs toL 2OT×OHgr].Research partially supported by National Aeronautics and Space Administration under Grant No. NSG 4015.
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