Lipschitz estimates for the stop and the play operator

In this article, we give some generalisations of existing Lipschitz estimates for the stop and the play operator with respect to an arbitrary convex and closed characteristic a separable Hilbert space. We are especially concerned with the dependency of their outputs with respect to different scalar products.
In diesem Artikel geben wir einige Verallgemeinerungen bestehender Lipschitzabschätzungen für den Stop- und Play-Operator bezüglich einer beliebigen konvexen, abgeschlossenen Charakteristik in einem separablen Hilbertraum. Wir sind vor allem an der Abhängigkeit ihrer Outputs bezüglich verschiedener Skalarprodukte interessiert.

Metadaten
Author:	Holger Lang, Klaus Dressler, Rene Pinnau
URN:	urn:nbn:de:hbz:386-kluedo-14468
Series (Serial Number):	Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (266)
Document Type:	Report
Language of publication:	English
Year of Completion:	2006
Year of first Publication:	2006
Publishing Institution:	Technische Universität Kaiserslautern
Contributing Corporation:	Deusche Forschungsgemeinschaft, Graduiertenkolleg Mathematik und Praxis Kaiserslautern
Date of the Publication (Server):	2006/09/21
Tag:	Elastoplastizität; Hysterese; Konvexe Mengen; Ratenunabhängigkeit; Variationsungleichugen Convex sets; Elastoplasticity; Hysteresis; Rate-independency; Variational inequalities
Faculties / Organisational entities:	Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:	5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):	39-XX DIFFERENCE AND FUNCTIONAL EQUATIONS / 39Bxx Functional equations and inequalities [See also 30D05] / 39B62 Functional inequalities, including subadditivity, convexity, etc. [See also 26A51, 26B25, 26Dxx]
	52-XX CONVEX AND DISCRETE GEOMETRY / 52Axx General convexity / 52A05 Convex sets without dimension restrictions
	74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
Licence (German):	Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011