De Lellis, C (2003). Some remarks on the distributional Jacobian. Nonlinear Analysis: Theory, Methods & Applications, 53(7-8):1101-1114.
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).
| 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 > Analysis
Physical Sciences > Applied 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: | 29 Jul 2020 19:41 |
| Publisher: | Elsevier |
| ISSN: | 0362-546X |
| OA Status: | Green |
| 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 |
De Lellis, C