Hysteresis operators in metric spaces

DOI10.3934/dcdss.2015.8.773zbMath1302.74131OpenAlexW2019147932MaRDI QIDQ479130

Vincenzo Recupero

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.773

zbMATH Keywords

hysteresismetric spacesrate independencesweeping processes

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Ordinary differential inclusions (34A60) Problems involving hysteresis in solids (74N30) Analysis on metric spaces (30L99)

Related Items (2)

\(BV\)-norm continuity of sweeping processes driven by a set with constant shape ⋮ Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space

Cites Work

• Lipschitz continuous data dependence of sweeping processes in BV spaces
• A continuity method for sweeping processes
• Rate independent Kurzweil processes.
• Evolution problem associated with a moving convex set in Hilbert space
• Differential models of hysteresis
• Hysteresis and phase transitions
• On locally isotone rate independent operators
• BV solutions of rate independent variational inequalities
• Sobolev and strict continuity of general hysteresis operators
• A survey of the theory of spectral operators
• The play operator on the rectifiable curves in a Hilbert space
• BV -extension of rate independent operators
• On a class of scalar variational inequalities with measure data
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