Strong Traces for Solutions of Multidimensional Scalar Conservation Laws
- Cite this article as:
- Vasseur, A. Arch. Rational Mech. Anal. (2001) 160: 181. doi:10.1007/s002050100157
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In this paper we consider multidimensional scalar conservation laws without BV estimates defined in a subset Ω⊂ℝ+×ℝd. 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 L1 convergence.