G. Gripenberg
Abstract:
It is shown that, provided the nonlinearity
is strictly convex, a discontinuity in the initial value
of the solution of the equation
where
and
,
is not immediately smoothed out even if the memory kernel
is such that the solution of the problem where
is a linear function is continuous for
.
Submitted September 11, 2000. Published January 11, 2001.
Math Subject Classifications: 35L65, 35L67, 45K05.
Key Words: conservation law, discontinuous solution, memory.
Show me the PDF file (133K), TEX file, and other files for this article.
![]() |
Gustaf Gripenberg Institute of Mathematics Helsinki University of Technology P.O. Box 1100, FIN-02015 HUT, Finland e-mail: gustaf.gripenberg@hut.fi http://www.math.hut.fi/~ggripenb |
---|
Return to the EJDE web page