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Whitney's Theorem: A nonsmooth version

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Ferrera Cuesta, Juan and Gómez Gil, Javier (2015) Whitney's Theorem: A nonsmooth version. Journal of Mathematical Analysis and Applications, 431 (1). pp. 633-647. ISSN 0022-247X

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X15005375


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Abstract

In this paper we solve the problem of extending continuous functions with nonempty subdifferential at every point of a closed subset A of R-n to functions with the same property defined in the whole Rn, keeping the property of outer semicontinuity of the subdifferential, which is a set-valued function. The proof is constructive, and gives us a wide range of possible extensions.


Item Type:Article
Uncontrolled Keywords:Whitney extension; Subdifferentiable functions
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:32890
Deposited On:26 Aug 2015 07:13
Last Modified:28 Jan 2016 16:05

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