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Lusin-type approximation of BD functions

Published online by Cambridge University Press:  14 November 2011

François B. Ebobisse
François B. Ebobisse
Affiliation:
Dipartimento di Matematica, Via F. Buonarroti 2, 56127 Pisa, Italy (ebobisse@paley.dm.unipi.it)
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Extract

The purpose of this paper is to establish a Lusin-type approximation of functions with bounded deformation by Lipschitz or C1 functions. The main ingredients inthe proof of our result are the maximal function of the measure Eu, the ‘Poincaré-type’ result by Kohn and the approximate symmetric differentiability of BD functions by Ambrosio and others.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 4 , 1999 , pp. 697 - 705
Copyright
Copyright © Royal Society of Edinburgh 1999

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