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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Advisor

Volume

2803

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Journal

Series Titel

WIAS Preprints

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Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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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.

Description

Keywords

Rate independence, play operator, variational inequality, sweeping process, energetic solution, directional derivative, maximum functional, Kurzweil integral, regulated function

Keywords GND

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Publication Type

Report

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publishedVersion

URI

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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