This text is the act of a talk given november 18 2008 at the seminar PDE of Ecole Polytechnique. The text is not completely faithfull to the oral exposition for I have taken this opportunity to present the proofs of some results that are not easy to find in the literature. On the other hand, I have been less precise on the material for which I found good references. Most of the novelties presented here come from a joined work with Luigi Ambrosio.
@article{SEDP_2008-2009____A6_0,
author = {Bernard, Patrick},
title = {Some remarks on the continuity equation},
journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"},
note = {talk:6},
pages = {1--12},
publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2008-2009},
language = {en},
url = {http://archive.numdam.org/item/SEDP_2008-2009____A6_0/}
}
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Bernard, Patrick. Some remarks on the continuity equation. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2008-2009), Exposé no. 6, 12 p. http://archive.numdam.org/item/SEDP_2008-2009____A6_0/
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