Multidimensional play operators with arbitrary BV inputs

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 le...

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Bibliographic Details
Published in:Mathematical modelling of natural phenomena 2020, Vol.15, p.13
Main Author: Recupero, Vincenzo
Format: Article
Language:English
Subjects:
Operators (mathematics)
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Summary: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.
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/2019042