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Archive for Rational Mechanics and Analysis

, Volume 160, Issue 3, pp 181–193 | Cite as

Strong Traces for Solutions of Multidimensional Scalar Conservation Laws

  • Alexis Vasseur

Abstract

In this paper we consider multidimensional scalar conservation laws without BV estimates defined in a subset Ω⊂ℝ+×ℝ d . We show that, with a non-degeneracy hypothesis on the flux, we can define a strong notion of trace at the boundary of Ω reached by L 1 convergence.

Keywords

Multidimensional Scalar Strong Notion Strong Trace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Alexis Vasseur
    • 1
  1. 1.Laboratoire J.A.Dieudonné¶Université de Nice Sophia-Antipolis¶Parc Valrose,¶06108 Nice Cedex 02¶e-mail: vasseur@math.unice.frFR

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