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


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.


Multidimensional Scalar Strong Notion Strong Trace 
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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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