BV-extension of rate independent operators

@article{Recupero2009BVextensionOR,
  title={BV-extension of rate independent operators},
  author={V. Recupero},
  journal={Mathematische Nachrichten},
  year={2009},
  volume={282},
  pages={86-98}
}
  • V. Recupero
  • Published 2009
  • Mathematics
  • Mathematische Nachrichten
  • Rate independent operators naturally arise in the mathematical analysis of hysteresis. Among rate independent operators, the locally monotone ones are those better suited for the study of PDE's with hysteresis. We prove that a rate independent operator R from Lip(0,T) into itself, which is locally monotone and continuous with respect to the strict topology of BV admits a unique continuous extension S form BV(0,T) into itself. This result provides a general extension theorem which applies to… CONTINUE READING
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