THE SENSITIVITY OF PARAMETRIC EVOLUTION INCLUSIONS GENERATED BY TIME-DEPENDENT CONVEX SUBDIFFERENTIALS

Authors
Citation
Da. Kandilakis, THE SENSITIVITY OF PARAMETRIC EVOLUTION INCLUSIONS GENERATED BY TIME-DEPENDENT CONVEX SUBDIFFERENTIALS, Journal of mathematical analysis and applications, 194(1), 1995, pp. 184-196
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
194
Issue
1
Year of publication
1995
Pages
184 - 196
Database
ISI
SICI code
0022-247X(1995)194:1<184:TSOPEI>2.0.ZU;2-Y
Abstract
In this work we show that the solution set of a class of evolution inc lusions of the subdifferential type converges in the Kuratowski sense under the assumption that the subdifferential operator converges in th e resolvent sense and the perturbation term converges in the Lebesque- Bochner space L(2)(H). Using this result we study a multivalued parabo lic boundary value problem. (C) 1995 Academic Press, Inc.