English

Multidimensional play operators with arbitrary BV inputs

Dynamical Systems 2020-05-20 v1

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.

Cite

@article{arxiv.2005.08966,
  title  = {Multidimensional play operators with arbitrary BV inputs},
  author = {Vincenzo Recupero},
  journal= {arXiv preprint arXiv:2005.08966},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:1707.09765

R2 v1 2026-06-23T15:38:19.824Z