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An Existence Theorem for Evolution Inclusions Involving Opposite Monotonicities

✍ Scribed by Tiziana Cardinali; Antonella Fiacca; Nikolaos S. Papageorgiou

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 192 KB
Volume: 222
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.5283

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✦ Synopsis

In this paper we examine evolution inclusions of the subdifferential type with the set-valued perturbation being nonconvex valued and dissipative. Under certain generally mild hypotheses on the data, we prove the existence of a strong global ŝolution, extending earlier analogous results by M. Otani and A. Cellina-V. Staicu. An example of a distributed parameter system is also presented in detail.

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