Multidimensional play operators with arbitrary BV inputs

Vincenzo Recupero¹

¹ Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.

Mathematical modelling of natural phenomena, Tome 15 (2020), article no. 13.

Résumé

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.

Détail

DOI : 10.1051/mmnp/2019042

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