Geodesic
Continuous Dependence Results for Subdifferential Inclusions
Publications de l'Institut Mathématique, _N_S_52 (1992) no. 66, p. 47

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We examine the dependence on a parameter of the solution set of a class of nonlinear evolution inclusions driven by subdifferential operators. We prove that under mild hypotheses on the data, the solution set depends continuously on the parameter for both the Vietoris and Hausdorff topologies. Then we use these results to study the variational stability of class of semilinear parabolic optimal control problems and we also indicate how our work also incorporates the stability analysis of differential variational inequalities.
Classification : 34G20 49A20 
@article{PIM_1992_N_S_52_66_a9,
     author = {Nikolaos S. Papageorgiou},
     title = {Continuous {Dependence} {Results} for {Subdifferential} {Inclusions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {47 },
     publisher = {mathdoc},
     volume = {_N_S_52},
     number = {66},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1992_N_S_52_66_a9/}
}
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Nikolaos S. Papageorgiou. Continuous Dependence Results for Subdifferential Inclusions. Publications de l'Institut Mathématique, _N_S_52 (1992) no. 66, p. 47 . http://geodesic.mathdoc.fr/item/PIM_1992_N_S_52_66_a9/