BV solutions of rate independent variational inequalities

DOI10.2422/2036-2145.2011.2.02zbMath1229.49012OpenAlexW191987710MaRDI QIDQ3095133

Vincenzo Recupero

Publication date: 28 October 2011

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.2011.2.02

zbMATH Keywords

geometric characterizationevolution variational inequalities\(BV\) continuous vector rate independent operatorsvectorial play operator

Mathematics Subject Classification ID

Variational inequalities (49J40) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Functions of bounded variation, generalizations (26A45) Nonlinear evolution equations (47J35) Hysteresis for ordinary differential equations (34C55)

Related Items (17)

Unnamed Item ⋮ \(BV\)-norm continuity of sweeping processes driven by a set with constant shape ⋮ Sweeping processes with prescribed behavior on jumps ⋮ Moreau-Yosida regularization of state-dependent sweeping processes with nonregular sets ⋮ Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space ⋮ Optimal control problems with states of bounded variation and hysteresis ⋮ Continuity of the non-convex play operator in the space of rectifiable curves. ⋮ The play operator on the rectifiable curves in a Hilbert space ⋮ A continuity method for sweeping processes ⋮ Hysteresis operators in metric spaces ⋮ Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads ⋮ Convex valued geodesics and applications to sweeping processes with bounded retraction ⋮ Multidimensional play operators with arbitraryBVinputs ⋮ Hysteresis and controllability of affine driftless systems: some case studies ⋮ Non-convex sweeping processes in the space of regulated functions ⋮ On the representation of hysteresis operators acting on vector-valued, left-continuous and piecewise monotaffine and continuous functions ⋮ \(BV\) continuous sweeping processes

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