Optimal Regularizing Effect for Scalar Conservation Laws
Analysis of PDEs
2014-10-28 v2
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.
Keywords
Cite
@article{arxiv.1112.2309,
title = {Optimal Regularizing Effect for Scalar Conservation Laws},
author = {François Golse and Benoît Perthame},
journal= {arXiv preprint arXiv:1112.2309},
year = {2014}
}
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