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Remarks on the total variation of the Jacobian

✍ Scribed by Domenico Mucci


Publisher
SP Birkhäuser Verlag Basel
Year
2006
Tongue
English
Weight
185 KB
Volume
13
Category
Article
ISSN
1021-9722

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Some remarks on the distributional Jacob
✍ Camillo De Lellis 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 157 KB

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).