Existence theorems without convexity assumptions for optimal control problems governed by parabolic and elliptic systems |
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| Authors: | Jean -Pierre Raymond |
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| Affiliation: | (1) Laboratoire d'Analyse Numérique, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex, France |
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| Abstract: | We give existence theorems for optimal control problems governed by partial differential equations. We make no convexity assumption with respect to the control variables. The results follow from a combination of the Lyapounov convexity theorem and a condition of concavity with respect to the state variable. |
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