Calculus of Variations and Geometric Measure Theory
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G. Bellettini - F. Caselli - M. Mariani

Quasi-potentials of the entropy functionals for scalar conservation laws

created by belletti on 13 Apr 2009
modified on 21 Aug 2009

[BibTeX]

Accepted Paper

Inserted: 13 apr 2009
Last Updated: 21 aug 2009

Journal: J. Functional Anal.
Year: 2009

Abstract:

We investigate the quasi-potential problem for the entropy cost functionals of non-entropic solutions to scalar conservation laws with smooth fluxes, as defined in 10,15,2,13. We prove that the quasi-potentials coincide with the integral of a suitable Einstein entropy.

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