Accepted Paper

Inserted: 3 feb 2016
Last Updated: 30 oct 2017

Journal: Arch. Ration. Mech. An.
Year: 2016

Abstract:

We investigate the structure of solutions of conservation laws with discontinuous flux under quite general assumption on the flux. We show that any entropy solution admits traces on the discontinuity set of the coefficients and we use this to prove the validity of a generalized Kato inequality for any pair of solutions. Applications to uniqueness of solutions are then given.

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