Geodesic
Evolution inclusions of the subdifferential type depending on a parameter
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 437-449

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In this paper we study evolution inclusions generated by time dependent convex subdifferentials, with the orientor field $F$ depending on a parameter. Under reasonable hypotheses on the data, we show that the solution set $S(\lambda )$ is both Vietoris and Hausdorff metric continuous in $\lambda \in \Lambda $. Using these results, we study the variational stability of a class of nonlinear parabolic optimal control problems.
Classification : 34A60, 34G20, 49A20, 49J15, 49J24
Keywords: subdifferential; compact type; Vietoris topology; Hausdorff metric; parabolic optimal control problem 
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     title = {Evolution inclusions of the subdifferential type depending on a parameter},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Kandilakis, Dimitrios; Papageorgiou, Nikolaos S. Evolution inclusions of the subdifferential type depending on a parameter. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 437-449. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a6/