Reconstruction of the Clarke subdifferential by the Lasry-Lions regularizations

DOI10.1006/jmaa.2000.6916zbMath0968.46063OpenAlexW2045947709MaRDI QIDQ1583947

Nadia P. Zlateva, Pando Grigorov Georgiev

Publication date: 23 September 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6916

zbMATH Keywords

Clarke subdifferentialLasry-Lions regularizations

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)

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Characterization of stadium-like domains via boundary value problems for the infinity Laplacian ⋮ On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: regularity and geometric results ⋮ Approximation and regularization of Lipschitz functions: Convergence of the gradients ⋮ Subdifferentiation of regularized functions

Cites Work

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• Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
• Differentiability of Lipschitz functions on Banach spaces
• A remark on regularization in Hilbert spaces
• The Proximal Normal Formula in Banach Space
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces