Vasseur, Alexis Strong traces for solutions of multidimensional scalar conservation laws. (English) Zbl 0999.35018 Arch. Ration. Mech. Anal. 160, No. 3, 181-193 (2001). Author’s abstract: In this paper we consider multidimensional scalar conservation laws without BV estimates defined in a subset \(\Omega \subset \mathbb{R}^+ \times \mathbb{R}^d\). We show that, with a nonlinear degeneracy hypothesis on the flux, we can define a strong notion of trace at the boundary of \(\Omega\) reached by \(L^1\) convergence. Reviewer: E.Feireisl (Praha) Cited in 2 ReviewsCited in 98 Documents MSC: 35D10 Regularity of generalized solutions of PDE (MSC2000) 35L65 Hyperbolic conservation laws 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:boundary behaviour PDFBibTeX XMLCite \textit{A. Vasseur}, Arch. Ration. Mech. Anal. 160, No. 3, 181--193 (2001; Zbl 0999.35018) Full Text: DOI