Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes

Diana Narváez; Emilio Vilches

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arXiv · 2104.13959

Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes

Diana Narváez·Emilio Vilches

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Abstract

In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively $\alpha$-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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Diana Narváez, Emilio Vilches. 2021-04-28. Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes. https://arxiv.org/abs/2104.13959

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