%0 Journal Article
%J Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 909-925
%D 2001
%T On the spreading of characteristics for non-convex conservation laws
%A Helge Kristian Jenssen
%A Carlo Sinestrari
%X We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the flux function has one point of inflection. It is well known that in the convex case the characteristic speed satisfies a one-sided Lipschitz estimate. Using Dafermos\\\' theory of generalized characteristics, we show that the characteristic speed in the non-convex case satisfies an HÃ¶lder estimate. In addition, we give a one-sided Lipschitz estimate with an error term given by the decrease of the total variation of the solution.
%B Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 909-925
%I Cambridge University Press
%G en_US
%U http://hdl.handle.net/1963/3265
%1 1436
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-11-10T13:53:07Z\\nNo. of bitstreams: 1\\nJS2.pdf: 302742 bytes, checksum: 563821a822c34aef0ca1b4c55065827c (MD5)
%R 10.1017/S0308210500001189