{
  "id": "1112.2309",
  "version": "v2",
  "published": "2011-12-10T23:22:38.000Z",
  "updated": "2012-07-26T08:25:55.000Z",
  "title": "Optimal Regularizing Effect for Scalar Conservation Laws",
  "authors": [
    "François Golse",
    "Benoît Perthame"
  ],
  "comment": "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"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-26T08:25:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L65",
      "35Q35",
      "76N10"
    ],
    "keywords": [
      "scalar conservation laws",
      "optimal regularizing effect",
      "entropy production term",
      "interaction estimate",
      "kinetic formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.2309G"
    }
  }
}