AN EXISTENCE THEOREM FOR EVOLUTION INCLUSIONS INVOLVING OPPOSITE MONOTONICITIES

Authors
CARDINALI T FIACCA A PAPAGEORGIOU NS
Citation
T. Cardinali et al., AN EXISTENCE THEOREM FOR EVOLUTION INCLUSIONS INVOLVING OPPOSITE MONOTONICITIES, Journal of mathematical analysis and applications, 222(1), 1998, pp. 1-14
Citations number
18
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
222
Issue
1
Year of publication
1998
Pages
1 - 14
Database
ISI
SICI code
0022-247X(1998)222:1<1:AETFEI>2.0.ZU;2-J
Abstract
In this paper we examine evolution inclusions of the subdifferential t ype with the set-valued perturbation being nonconvex valued and dissip ative. Under certain generally mild hypotheses on the data, we prove t he existence of a strong global solution, extending earlier analogous results by M. Otani and A. Cellina-V. Staicu. An example of a distribu ted parameter system is also presented in detail. (C) 1998 Academic Pr ess.