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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1993__34_4_a5,
     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},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {1993},
     mrnumber = {1263796},
     zbl = {0792.34014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a5/}
}
TY  - JOUR
AU  - Papageorgiou, Nikolaos S.
TI  - On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1993
SP  - 673
EP  - 687
VL  - 34
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a5/
LA  - en
ID  - CMUC_1993__34_4_a5
ER  - 
%0 Journal Article
%A Papageorgiou, Nikolaos S.
%T On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type
%J Commentationes Mathematicae Universitatis Carolinae
%D 1993
%P 673-687
%V 34
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a5/
%G en
%F CMUC_1993__34_4_a5
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/