TY - JOUR
T1 - On the spreading of characteristics for non-convex conservation laws
JF - Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 909-925
Y1 - 2001
A1 - Helge Kristian Jenssen
A1 - Carlo Sinestrari
AB - 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.
PB - Cambridge University Press
UR - http://hdl.handle.net/1963/3265
U1 - 1436
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -