WIAS Preprint No. 2803, (2021)
A variational inequality for the derivative of the scalar play operator
Authors
- Brokate, Martin
ORCID: 0000-0003-4660-9180 - Krejčí, Pavel
ORCID: 0000-0002-7579-6002
2020 Mathematics Subject Classification
- 49J40 34C55 47J20 47J40 49J42
Keywords
- Rate independence, play operator, variational inequality, sweeping process, energetic solution, directional derivative, maximum functional, Kurzweil integral, regulated function
DOI
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.
Appeared in
- J. Appl. Numer. Optim., 3 (2021), pp. 263--283. DOI 10.23952/Jano.3.2021.2.03.
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