Optimal Regularizing Effect for Scalar Conservation Laws

Published 10 Dec 2011 in math.AP | (1112.2309v2)

Abstract: 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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