We present a generalized formulation of sweeping process where the behavior 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.

Sweeping processes with prescribed behavior on jumps / Recupero, Vincenzo; Santambrogio, Filippo. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 197:4(2018), pp. 1311-1332. [10.1007/s10231-018-0726-z]

Sweeping processes with prescribed behavior on jumps

Vincenzo Recupero;
2018

Abstract

We present a generalized formulation of sweeping process where the behavior 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2702319