, Volume 160, Issue 3, pp 181-193

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.

Accepted April 11, 2001¶Published online October 30, 2001