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Strong Traces for Solutions of Multidimensional Scalar Conservation Laws
Authors:Alexis Vasseur
Affiliation:Laboratoire J.A.Dieudonné?Université de Nice Sophia-Antipolis?Parc Valrose,?06108 Nice Cedex 02?e-mail: vasseur@math.unice.fr, FR
Abstract:
In this paper we consider multidimensional scalar conservation laws without BV estimates defined in a subset Ω??+×? 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:
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