Geodesic
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 673-687 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.
In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.
Classification : 34A60, 34G20, 35K55
Keywords: subdifferential operator; function of compact type; evolution inclusion; continuous selection; path connectedness; differential variational inequalities; nonlinear parabolic system 
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     author = {Papageorgiou, Nikolaos S.},
     title = {On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {673--687},
     year = {1993},
     volume = {34},
     number = {4},
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     zbl = {0792.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a5/}
}
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Papageorgiou, Nikolaos S. On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 673-687. http://geodesic.mathdoc.fr/item/CMUC_1993_34_4_a5/