ANZIAM J.
45 (2003), 115-131
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Existence of optimal controls for semilinear elliptic equations without Cesari-type conditions
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Hongwei Lou
Mathematical Department
Fudan University
Shanghai 200433
China
hwlou@fudan.edu.cn
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Abstract
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Optimal control problems governed by semilinear
elliptic partial differential equations are
considered. No Cesari-type conditions are
assumed. By proving an existence theorem and the
Pontryagin maximum principle of optimal
``state-control'' pairs for the corresponding
relaxed problems, we establish an existence
theorem of optimal pairs for the original
problem.
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