C2-Lusin approximation of strongly convex functions
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Author(s)
Azagra, Daniel
Drake, Marjorie
Hajłasz, Piotr
Date Issued
April 3, 2024
Journal
Inventiones mathematicae
Publisher
Springer Berlin Heidelberg
Citation
Azagra, D., Drake, M. & Hajłasz, P. C2-Lusin approximation of strongly convex functions. Invent. math. 236, 1055–1082 (2024).
Version
Author's final manuscript
Abstract
Abstract We prove that if u : R n → R is strongly convex, then for every ε > 0 there is a strongly convex function v ∈ C 2 ( R n ) such that | { u ≠ v } | < ε and ∥ u − v ∥ ∞ < ε .
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00222-024-01252-6
