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An extension of the identity Det=det

De Lellis, C; Ghiraldin, F (2010). An extension of the identity Det=det. Comptes Rendus Mathematique, 348(17-18):973-976.

Abstract

In this Note we study the pointwise characterization of the distributional Jacobian of BnV maps. After recalling some basic notions, we will extend the well-known result of Müller to a more natural class of functions, using the divergence theorem to express the Jacobian as a boundary integral.



Dans cette Note on étudie la caractérisation ponctuelle du jacobien des applications BnV au sens des distributions. On étend un résultat bien connu de Müller à une classe plus naturelle de fonctions, en utilisant le théorème de la divergence pour écrire le jacobien comme une intégrale de contour.

Additional indexing

Other titles:Une extension de l'identité Det=det
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Language:English
Date:2010
Deposited On:11 Aug 2011 15:02
Last Modified:05 May 2025 01:40
Publisher:Elsevier
ISSN:1631-073X
OA Status:Green
Publisher DOI:https://doi.org/10.1016/j.crma.2010.07.019
Related URLs:http://www.math.uzh.ch/index.php?preprint&key1=2010

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