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Martin Brokate, Pavel Krejčí, A variational inequality for the derivative of the scalar play operator

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DOI: 10.23952/jano.3.2021.2.03
Volume 3, Issue 2, 31 August 2021, Pages 263-283

 

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.

 

How to Cite this Article:
Martin Brokate, Pavel Krejčí, A variational inequality for the derivative of the scalar play operator, J. Appl. Numer. Optim. 3 (2021), 263-283.