On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type

Nikolaos S. Papageorgiou

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 4, page 673-687
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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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 34.4 (1993): 673-687. <http://eudml.org/doc/247502>.

@article{Papageorgiou1993,
abstract = {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.},
author = {Papageorgiou, Nikolaos S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {subdifferential operator; function of compact type; evolution inclusion; continuous selection; path connectedness; differential variational inequalities; nonlinear parabolic system; continuous selection; differential inclusion; Hilbert space; path connectedness; reachable set; parabolic control system; differential variational inequality},
language = {eng},
number = {4},
pages = {673-687},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type},
url = {http://eudml.org/doc/247502},
volume = {34},
year = {1993},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 4
SP - 673
EP - 687
AB - 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.
LA - eng
KW - subdifferential operator; function of compact type; evolution inclusion; continuous selection; path connectedness; differential variational inequalities; nonlinear parabolic system; continuous selection; differential inclusion; Hilbert space; path connectedness; reachable set; parabolic control system; differential variational inequality
UR - http://eudml.org/doc/247502
ER -

References

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