Multidimensional play operators with arbitrary BV inputs

Abstract

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.

arXiv admin note: text overlap with arXiv:1707.09765