Geodesic
Optimal Control of a Class of Degenerate Nonlinear Evolution Equations
Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 125 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We examine problems of optimal control of systems driven by a nonlinear, degenerate evolution equation. First we establish two existence results for two different types of integral cost criteria. Then we examine the sensitivity of the optimal value on variations of the data. Finally we present an example of a degenerate, nonlinear parabolic optimal control system.
Classification : 49A27
Keywords: Degenerate evolution equation, Gelfand triple, self-adjoint operator, Kuratowski-Mosco convergence, epi-convergence, Dirichlet form 
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     author = {Nikolaos S. Papageorgiou},
     title = {Optimal {Control} of a {Class} of {Degenerate} {Nonlinear} {Evolution} {Equations}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {125 },
     year = {1992},
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     number = {65},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1992_N_S_51_65_a15/}
}
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Nikolaos S. Papageorgiou. Optimal Control of a Class of Degenerate Nonlinear Evolution Equations. Publications de l'Institut Mathématique, _N_S_51 (1992) no. 65, p. 125 . http://geodesic.mathdoc.fr/item/PIM_1992_N_S_51_65_a15/