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Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets

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Abstract

This paper is devoted on the one hand to the study of specific properties of an evolution variational inequality involving a uniformly prox-regular set. We give on the other hand a general criterion for Lyapunov pairs of this evolution variational inequality and some results on the asymptotic behaviour of the solution.

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Acknowledgments

We thank the referee for his careful reading which allows us to improve the presentation of the paper. This work is partially supported by Project Fondecyt No. 1151003.

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Authors and Affiliations

  1. Universidad de Chile, Centro de Modelamiento Matemático, Av. Blanco Encalada 2120, Santiago, Chile

    Abderrahim Hantoute

  2. Département de Mathématiques CC 051, Université Montpellier 2, Place Eugène Bataillon, 34095, Montpellier, France

    Marc Mazade

Authors
  1. Abderrahim Hantoute
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  2. Marc Mazade
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Correspondence to Marc Mazade.

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Hantoute, A., Mazade, M. Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets. Positivity 21, 423–448 (2017). https://doi.org/10.1007/s11117-016-0428-y

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  • DOI: https://doi.org/10.1007/s11117-016-0428-y

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