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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.

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Metadaten
Author:Holger Lang, Klaus Dressler, Rene Pinnau
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14468
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (266)
Document Type:Report
Language of publication:English
Year of Completion:2006
Year of Publication:2006
Publishing Institute: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: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