Inserted: 27 feb 2006
Last Updated: 3 may 2011
Journal: Handbook of Differential Equations: Evolutionary Differential Equations
The aim of these notes is to give an account of some recent results about transport equations with variable $BV$ coefficients, and their applications to a class of hyperbolic systems of conservation laws in several space dimensions. Besides collecting results which are scattered in the literature, it has been my intention to give a self--contained and more readable reference, and to provide details, remarks, and connections barely mentioned in the original papers.
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