### A Note on the Spreading of Characteristics for Nonconvex Conservation Laws

Helge Kristian Jenssen

Abstract: We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the flux function has exactly one point of inflection. It is well-known that the characteristic speed satisfies a one-sided Lipschitz estimate in the convex case. Using Dafermos' theory of generalized characteristics \cite{Dafermos85} we show that the characteristic speed in the nonconvex case satisfies a H\"{o}lder estimate at each fixed time.

Please note that an expanded version of this paper is available as preprint 2000-024.

Paper:
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Title:
A note on the spreading of characteristics for nonconvex conservation laws
Author(s):
Helge Kristan Jenssen , <helgekj@math.ntnu.no>
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