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      Sweeping processes with prescribed behaviour on jumps

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          Abstract

          We present a generalized formulation of sweeping process where the behaviour of the solution is prescribed at the jump points of the driving moving set. An existence and uniqueness theorem for such formulation is proved. As a consequence we derive a formulation and an existence/uniqueness theorem for sweeping processes driven by an arbitrary BV moving set, whose evolution is not necessarily right continuous. Applications to the play operator of elastoplasticity are also shown.

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          Hysteresis and Phase Transitions

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            Evolution problem associated with a moving convex set in a Hilbert space

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              Evolution of Rate-Independent Systems

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                Author and article information

                Journal
                31 July 2017
                Article
                1707.09765
                162343b8-c563-483c-80d4-2e1b79e0cc40

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                math.OC math.CA math.DS
                ccsd

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