@article {2001,
title = {On the spreading of characteristics for non-convex conservation laws},
journal = {Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 909-925},
year = {2001},
publisher = {Cambridge University Press},
abstract = {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 H{\"o}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.},
doi = {10.1017/S0308210500001189},
url = {http://hdl.handle.net/1963/3265},
author = {Helge Kristian Jenssen and Carlo Sinestrari}
}