Calculus of Variations and Geometric Measure Theory

C. De Lellis

Notes on hyperbolic systems of conservation laws and transport equations

created by delellis on 27 Feb 2006
modified on 03 May 2011


Published Paper

Inserted: 27 feb 2006
Last Updated: 3 may 2011

Journal: Handbook of Differential Equations: Evolutionary Differential Equations
Volume: III
Pages: 277-383
Year: 2006


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.

For the most updated version and eventual errata see the page


Keywords: BV functions, Hyperbolic systems of conservation laws, Transport equations