Strong Traces for Solutions of Multidimensional Scalar Conservation Laws
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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.
KeywordsMultidimensional Scalar Strong Notion Strong Trace
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