| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Systems with Hysteresis and Switching
|
|
|---|---|---|
| Article Number | 13 | |
| Number of page(s) | 17 | |
| DOI | https://doi.org/10.1051/mmnp/2019042 | |
| Published online | 12 March 2020 | |
Multidimensional play operators with arbitrary BV inputs*
Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24,
10129
Torino, Italy.
** Corresponding author: vincenzo.recupero@polito.it
Received:
18
December
2018
Accepted:
20
September
2019
In this paper we provide an integral variational formulation for a vector play operator where the inputs are allowed to be arbitrary functions with (pointwise) bounded variation, not necessarily left or right continuous. We prove that this problem admits a unique solution, and we show that in the left continuous and right continuous cases it reduces to the well known existing formulations.
Mathematics Subject Classification: 47J20 / 34C55 / 26A45
Key words: Play operator / evolution variational inequalities / functions of bounded variation / sweeping processes / convex sets
© EDP Sciences, 2020
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