arXiv:1112.2309 Abstract | arXiv Analytics

arXiv:1112.2309 [math.AP]Abstract References Reviews Resources

Optimal Regularizing Effect for Scalar Conservation Laws

Published 2011-12-10, updated 2012-07-26Version 2

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.

Comments: 24 pages, assumption (11) in Theorem 3.1 modified together with the example on p. 7, one remark added after the proof of Lemma 4.3, some typos corrected

Categories: math.AP

Subjects: 35L65, 35Q35, 76N10

Keywords: scalar conservation laws, optimal regularizing effect, entropy production term, interaction estimate, kinetic formulation

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