6533b862fe1ef96bd12c73d4

RESEARCH PRODUCT

Regularization of perturbed state-dependent sweeping processes with nonregular sets

Emilio Vilches

subject

Positively alpha-far sets[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]MSC: 34A60 49J52 34G25 49J53Moreau-Yosida regularizationDifferential inclusions[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Subsmooth setsSweeping processClarke normal cone

description

International audience; 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.

yearjournalcountryeditionlanguage
2018-01-01
https://hal.science/hal-01899944