Properties of the solution of evolution inclusions driven by time dependent subdifferentials

Nikolaos S. Papageorgiou

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 2, page 197-204
  • ISSN: 0010-2628

Abstract

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In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.

How to cite

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Papageorgiou, Nikolaos S.. "Properties of the solution of evolution inclusions driven by time dependent subdifferentials." Commentationes Mathematicae Universitatis Carolinae 33.2 (1992): 197-204. <http://eudml.org/doc/247404>.

@article{Papageorgiou1992,
abstract = {In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.},
author = {Papageorgiou, Nikolaos S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {subdifferential; monotonicity; relaxation; continuous selection; lower semicontinuous multifunction; subdifferential; monotonicity; continuous selection; lower semicontinuous multifunction; evolution problem; convexified problem; Hilbert space; relaxation theorem},
language = {eng},
number = {2},
pages = {197-204},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Properties of the solution of evolution inclusions driven by time dependent subdifferentials},
url = {http://eudml.org/doc/247404},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Papageorgiou, Nikolaos S.
TI - Properties of the solution of evolution inclusions driven by time dependent subdifferentials
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 2
SP - 197
EP - 204
AB - In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.
LA - eng
KW - subdifferential; monotonicity; relaxation; continuous selection; lower semicontinuous multifunction; subdifferential; monotonicity; continuous selection; lower semicontinuous multifunction; evolution problem; convexified problem; Hilbert space; relaxation theorem
UR - http://eudml.org/doc/247404
ER -

References

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  10. Papageorgiou N.S., On evolution inclusions associated with time dependent convex subdifferentials, Comment. Math. Univ. Carolinae 31 (1990), 517-527. (1990) Zbl0711.34076MR1078486
  11. Tsukada M., Convergence of best approximations in smooth Banach spaces, J. Approx. Theory 40 (1984), 301-309. (1984) MR0740641
  12. Wagner D., Survey of measurable selection theorems, SIAM J. Control and Optim. 15 (1977), 859-903. (1977) Zbl0407.28006MR0486391
  13. Watanabe J., On certain nonlinear evolution equations, J. Math. Soc. Japan 25 (1973), 446-463. (1973) Zbl0253.35053MR0326522
  14. Yotsutani S., Evolution equations associated with subdifferentials, J. Math. Soc. Japan 31 (1978), 623-646. (1978) MR0544681
  15. Jarnik J., Kurzweil J., On conditions on right hand sides of differential relations, Časopis pro pěstování matematiky 102 (1977), 334-349. (1977) Zbl0369.34002MR0466702
  16. Rzezuchowski T., Scorza-Dragoni type theorem for upper semicontinuous multivalued functions, Bulletin Polish Academy of Sciences 28 (1980), 61-66. (1980) Zbl0459.28007MR0616201

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