Title | Some remarks on the distributional Jacobian. |
Publication Type | Journal Article |
Year of Publication | 2003 |
Authors | De Lellis C. |
Journal | Nonlinear Analysis: Theory, Methods & Applications |
Volume | 53 |
Pagination | 1101–1114 |
Publisher | Elsevier |
Type of Article | calculus of variations |
ISSN | 0362-546X |
Keywords | Chain 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. |
URL | https://www.sciencedirect.com/science/article/pii/S0362546X03000464 |
DOI | 10.1016/S0362-546X(03)00046-4 |
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