A variational inequality for the derivative of the scalar play operator

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.

Keywords

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

URI

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

Citation

Brokate, M., & Krejčí, P. (2021). A variational inequality for the derivative of the scalar play operator (Vol. 2803). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2803

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Mathematik

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