Lipschitz continuous data dependence of sweeping processes in BV spaces

@article{Krejc2011LipschitzCD,
  title={Lipschitz continuous data dependence of sweeping processes in BV spaces},
  author={P. Krejc{\'i} and T. Roche},
  journal={Discrete and Continuous Dynamical Systems-series B},
  year={2011},
  volume={15},
  pages={637-650}
}
  • P. Krejcí, T. Roche
  • Published 2011
  • Mathematics
  • Discrete and Continuous Dynamical Systems-series B
  • For a rate independent sweeping process with a time dependent smooth convex constraint, we prove that the Kurzweil solution for possibly discontinuous inputs depends locally Lipschitz continuously on the data in terms of the $BV$-norm. 
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