Evolution inclusions of the subdifferential type depending on a parameter
Kandilakis, Dimitrios A. ; Papageorgiou, Nikolaos S.
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 437-449 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1992-01-01
Classification:  34A60,  34G20,  49A20,  49J15,  49J24 
@article{118512,
     author = {Dimitrios A. Kandilakis and Nikolaos S. Papageorgiou},
     title = {Evolution inclusions of the subdifferential type depending on a parameter},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {437-449},
     zbl = {0783.34048},
     mrnumber = {1209286},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118512}
}

Kandilakis, Dimitrios A.; Papageorgiou, Nikolaos S. Evolution inclusions of the subdifferential type depending on a parameter. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 437-449. http://gdmltest.u-ga.fr/item/118512/

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