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Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21497

Ambrosio, L; De Lellis, C; Malý, J (2007). On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems. In: Berestycki, H; Bertsch, M; Browder, F E; Nirenberg, L; Peletier, L; Véron, L. Perspectives in nonlinear partial differential equations. Providence, RI, 31-67. ISBN 978-0-8218-4190-7.

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Abstract

We discuss the problem of computing the distributional divergence of a vector field of the form h(w)B, where h is a smooth scalar function and B is a BV vector field, knowing the distributional divergence of all vector fields w_iB, where w_i are the components of w.

We present partial results on this problem, conjectures, and links with other problems related to the SBV regularity of solutions of Hamilton-Jacobi equations and systems of conservation laws, and a conjecture recently made by Bressan

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:BV functions, Renormalized solutions, Continuity equation, Chain rule
Language:English
Date:2007
Deposited On:11 Nov 2009 15:13
Last Modified:27 Nov 2013 21:58
Publisher:American Mathematical Society
Series Name:Contemporary Mathematics
Number:446
ISSN:0271-4132
ISBN:978-0-8218-4190-7
Official URL:http://www.ams.org/bookstore-getitem/item=CONM-446

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