Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes

2021/04/28 by Diana Marcela Devia Narváez, Narváez, Diana, Emilio Vilches +1
Computer Science · Engineering · Mathematics · #34A60 #49J52 #49J53 #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2104.13959

openalex publication_date 2021/04/28 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively α-far). Based on the Moreau-Yosida regularization, we prove the existence of solutions under the Lipschitzianity of the moving sets with respect to the truncated Hausdorff distance.

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