Existence of Optimal Controls for Semilinear Parabolic Equations without Cesari-Type Conditions |
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Authors: | Lou |
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Institution: | (1) Mathematical Department, Fudan University, Shanghai 200433, People's Republic of China hwlou@fudan.edu.cn , CN |
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Abstract: |
Abstract. Optimal control problems governed by semilinear parabolic partial differential equations are considered. No Cesari-type conditions
are assumed. By proving the existence theorem and the Pontryagin maximum principle of optimal ``state-control" pairs for the
corresponding relaxed problems, an existence theorem of optimal pairs for the original problem is established. |
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Keywords: | , Existence, Semilinear parabolic equation, Optimal control, Relaxed control, AMS Classification, 49J20, 49J45, 35K20, |
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