Corpus ID: 59576259

Uniqueness of a quasivariational sweeping process on functions of bounded variation

@article{Roche2012UniquenessOA,
  title={Uniqueness of a quasivariational sweeping process on functions of bounded variation},
  author={T. Roche},
  journal={Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze},
  year={2012},
  volume={11},
  pages={363-394}
}
  • T. Roche
  • Published 2012
  • Mathematics
  • Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze
  • We prove existence and uniqueness of a quasivariational sweeping process on functions of bounded variation thereby generalizing previous results for absolutely continuous functions. It turns out that the size of the discontinuities plays a crucial role: In case they are small enough we prove existence and uniqueness. For large jumps we present a counterexample to the uniqueness of the solution. Finally we show that the condition on the jump size can be replaced by suitable conditions on… CONTINUE READING
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