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Some remarks on the distributional Jacobian


De Lellis, C (2003). Some remarks on the distributional Jacobian. Nonlinear Analysis: Theory, Methods & Applications, 53(7-8):1101-1114.

Abstract

In this paper we prove a strong coarea-type formula and a chain rule for distributional Jacobians of some classes of maps. In particular we give a partial answer to a question arisen by Jerrard and Soner in Jerrard and Soner (Indiana Univ. Math. J. 51 (2002) 645).

In this paper we prove a strong coarea-type formula and a chain rule for distributional Jacobians of some classes of maps. In particular we give a partial answer to a question arisen by Jerrard and Soner in Jerrard and Soner (Indiana Univ. Math. J. 51 (2002) 645).

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Distributional Jacobians; Functions of higher bounded variations; Coarea formula; Chain rule
Language:English
Date:2003
Deposited On:17 Sep 2010 09:36
Last Modified:05 Apr 2016 13:25
Publisher:Elsevier
ISSN:0362-546X
Publisher DOI:https://doi.org/10.1016/S0362-546X(03)00046-4
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1978037
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1025.49030
Permanent URL: https://doi.org/10.5167/uzh-21889

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