TitleSome remarks on the distributional Jacobian.
Publication TypeJournal Article
Year of Publication2003
AuthorsDe Lellis C.
JournalNonlinear Analysis: Theory, Methods & Applications
Volume53
Pagination1101–1114
PublisherElsevier
Type of Articlecalculus of variations
ISSN0362-546X
KeywordsChain rule, Coarea formula, Distributional Jacobians, Functions of higher bounded variations
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).

Notes

Nonlinear Anal. 53 (2003), no. 7-8, 1101–1114.

URLhttps://www.sciencedirect.com/science/article/pii/S0362546X03000464
DOI10.1016/S0362-546X(03)00046-4
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