In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also worked out in detail.
@article{107520,
author = {Nikolaos S. Papageorgiou},
title = {Parametrized relaxation for evolution inclusions of the subdifferential type},
journal = {Archivum Mathematicum},
volume = {031},
year = {1995},
pages = {9-28},
zbl = {0839.34075},
mrnumber = {1342371},
language = {en},
url = {http://dml.mathdoc.fr/item/107520}
}
Papageorgiou, Nikolaos S. Parametrized relaxation for evolution inclusions of the subdifferential type. Archivum Mathematicum, Tome 031 (1995) pp. 9-28. http://gdmltest.u-ga.fr/item/107520/
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