Preprint 2004-054

Minimal Entropy Conditions for Burgers Equations

Camillo De Lellis, Felix Otto, and Michael Westdickenberg

Abstract: We consider stricly convex, 1-d scalar conservation laws. We show that a single strictly convex entropy is sufficient to characterize a Kruzhkov solution. The proof uses the concept of viscosity solution for the related Hamilton-Jacobi equation.

Available as gzipped PostScript (192 Kbytes; uncompress using gunzip).
Camillo De Lellis, <>
Felix Otto
Michael Westdickenberg
Publishing information:
To appear in Quarterly of Applied Mathematics
Submitted by:
<> October 12 2004.

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