Regularization of perturbed state-dependent sweeping processes with nonregular sets

Emilio Vilches (1, 2, 3)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 DIM - Departamento de Ingeniería Matemática [Santiago]
3 UOH - Universidad de O'Higgins

In this paper, we prove the convergence strongly pointwisely (up to a subsequence) of Moreau-Yosida regularization of perturbed state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets in separable Hilbert spaces. Some relevant consequences are indicated.

Mots clés: Moreau-Yosida regularization; Subsmooth sets; Sweeping process; Positively alpha-far sets; Differential inclusions; Clarke normal cone

Domaines: Mathématiques générales [math.GM]

Emilio Vilches. Regularization of perturbed state-dependent sweeping processes with nonregular sets. Journal of Nonlinear and Convex Analysis, 2018, 19 (4), pp.633-651. ⟨hal-01899944⟩