Archivio Istituzionale della RicercaIn 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.
Multidimensional play operators with arbitrary BV inputs / Recupero, Vincenzo. - In: MATHEMATICAL MODELLING OF NATURAL PHENOMENA. - ISSN 0973-5348. - ELETTRONICO. - 15:13(2020), pp. 1-17. [10.1051/mmnp/2019042]
Multidimensional play operators with arbitrary BV inputs
Recupero Vincenzo
2020
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.
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BVplaywithanyinput_rev1.pdf
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mmnp180205.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2776653