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Existence of Optimal Controls for Semilinear Parabolic Equations without Cesari-Type Conditions

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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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  1. Mathematical Department, Fudan University, Shanghai 200433, People's Republic of China hwlou@fudan.edu.cn , , , , , , CN

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Lou, . Existence of Optimal Controls for Semilinear Parabolic Equations without Cesari-Type Conditions . Appl Math Optim 47, 121–142 (2003). https://doi.org/10.1007/s00245-002-0756-0

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  • DOI: https://doi.org/10.1007/s00245-002-0756-0

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