no. 17-18
Partial Differential Equations
An extension of the identity Det=det
[Une extension de l'identité Det=det]
Présenté par : John Ball
De Lellis, Camillo1 ; Ghiraldin, Francesco2
1 Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
2 Scuola Normale Superiore, P.zza dei Cavalieri, 7, 56126 Pisa, Italy
Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 973-976

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.07.019

De Lellis, Camillo 1 ; Ghiraldin, Francesco 2

1 Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
2 Scuola Normale Superiore, P.zza dei Cavalieri, 7, 56126 Pisa, Italy 
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De Lellis, Camillo; Ghiraldin, Francesco. An extension of the identity $ \mathbf{Det}=\mathbf{det}$. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 973-976. doi: 10.1016/j.crma.2010.07.019

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