Geodesic
Differential Variational Inequalities with Locally Prox-Regular Sets
Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1109-1139.

Voir la notice de l'article provenant de la source Heldermann Verlag

The paper studies local existence and uniqueness of absolutely continuous solutions of a differential variational inequality involving a locally prox-regular set of an infinite dimensional Hilbert space. The study requires a quantified concept of local prox-regularity termed as (r,α)-prox-regularity.
Classification : 34A60, 49J52, 49J20, 58E35
Mots-clés : Differential inclusions, differential variational inequalities, proximal normal cone, locally prox-regular set, (r,alpha)-prox-regular set, hypomonotonicity, sweeping process, perturbation 
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     author = {M. Mazade and L. Thibault},
     title = {Differential {Variational} {Inequalities} with {Locally} {Prox-Regular} {Sets}},
     journal = {Journal of convex analysis},
     pages = {1109--1139},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2012},
     url = {http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a12/}
}
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M. Mazade; L. Thibault. Differential Variational Inequalities with Locally Prox-Regular Sets. Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1109-1139. http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a12/