On the Chain Rule for the Divergence of $BV$-like Vector Fields: Applications, Partial Results, Open Problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F07%3A10084018" target="_blank" >RIV/00216208:11320/07:10084018 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the Chain Rule for the Divergence of $BV$-like Vector Fields: Applications, Partial Results, Open Problems
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GA201%2F03%2F0931" target="_blank" >GA201/03/0931: Theory of Real Functions and Distributions II.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Perspectives in Nonlinear Partial Differential equations. In Honor of Haim Brezis
ISBN
978-0-8218-4190-7
ISSN
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e-ISSN
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Number of pages
37
Pages from-to
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Publisher name
American Mathematical Society
Place of publication
Providence, R. I.
Event location
Paris
Event date
Jun 21, 2004
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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