HYSTERESIS AND HEMIVARIATIONAL INEQUALITIES - SEMILINEAR CASE

Authors
MIETTINEN M PANAGIOTOPOULOS PD
Citation
M. Miettinen et Pd. Panagiotopoulos, HYSTERESIS AND HEMIVARIATIONAL INEQUALITIES - SEMILINEAR CASE, Journal of global optimization, 13(3), 1998, pp. 269-298
Citations number
26
Categorie Soggetti
Mathematics,"Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of global optimization → ACNP
ISSN journal
09255001
Volume
13
Issue
3
Year of publication
1998
Pages
269 - 298
Database
ISI
SICI code
0925-5001(1998)13:3<269:HAHI-S>2.0.ZU;2-1
Abstract
In this paper we consider semilinear parabolic boundary value problems having nonsmooth and nonmonotone behaviour and memory effects. The ma thematical problem can be formulated and studied by using the notions of hemivariational inequality (based on the generalized gradient in th e sense of F.H. Clarke) and the hysteresis operator. We establish two general existence results for such problems. Applications from mechani cs illustrate the theory.