Optimal Regularizing Effect for Scalar Conservation Laws

Details Optimal Regularizing Effect for Scalar Conservation Laws Optimal Regularizing Effect for Scalar Conservation Laws

2011-12-10

arxiv.org/abs/1112.2309v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

We investigate the regularity of bounded weak solutions of scalar
conservation laws with uniformly convex flux in space dimension one, satisfying
an entropy condition with entropy production term that is a signed Radon
measure. The proof is based on the kinetic formulation of scalar conservation
laws and on an interaction estimate in physical space.

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