Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets

Abderrahim Jourani; Emilio Vilches

doi:10.1007/s10957-017-1083-6

Article dans une revue

Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets

Abderrahim Jourani ^{1, *} Emilio Vilches ²

* Auteur correspondant

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

2 DIM - Departamento de Ingeniería Matemática [Santiago]

Abstract : The existence and the convergence (up to a subsequence) of the Moreau-Yosida regularization for the state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets are established. Then, by a reparametrization technique, the existence of solutions for bounded variation continuous state-dependent sweeping processes with nonregular (subsmooth and positively alpha-far) sets is proved. An application to vector hysteresis is discussed, where it is shown that the Play operator with positively alpha-far sets is well defined for bounded variation continuous inputs.

Keywords : Moreau-Yosida regularization Subsmooth sets Sweeping process Positively alpha-far sets Measure differential inclusions Play operator Hilbert-spaces Bv solutions Variational-inequalities Differential-inclusions Perturbation Existence

Type de document :

Article dans une revue

Domaine :

Mathématiques [math]

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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01551688
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Soumis le : vendredi 30 juin 2017 - 14:18:55
Dernière modification le : mercredi 3 novembre 2021 - 06:24:40

Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets

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Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets

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