A variational inequality for the derivative of the scalar play operator

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wias_preprints_2803.pdf(314.91 KB)
Date
2021
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Volume
2803
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Journal
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WIAS Preprints
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Link to publishers version
https://doi.org/10.20347/WIAS.PREPRINT.2803
Abstract

We show that the directional derivative of the scalar play operator is the unique solution of a certain variational inequality. Due to the nature of the discontinuities involved, the variational inequality has an integral form based on the Kurzweil-Stieltjes integral.

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https://oa.tib.eu/renate/handle/123456789/9521
 https://doi.org/10.34657/8559
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Mathematik
WIAS Preprints
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