A variational inequality for the derivative of the scalar play operator

Martin Brokate, Pavel Krejčí

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)263-283
Number of pages21
JournalJournal of Applied and Numerical Optimization
Volume3
Issue number2
DOIs
StatePublished - Aug 2021

Keywords

  • Energetic solution
  • Rate independence
  • Regulated function
  • Sweeping process
  • Variational inequality

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