Preprint 1997-037

Stability of Conservation Laws with Discontinuous Coefficients

Runhild Aae Klausen and Nils Henrik Risebro


Abstract: We prove $L_{1}$ contractivity of weak solutions to a conservation law with a flux function that may depend discontinuously on the space variable. Furthermore, we show that the $L_{1}$ difference between solutions to conservation laws with different flux functions, is bounded by the total variation with respect to the space variable, of the difference between the flux functions.


Paper:
Available as PostScript
Title:
Stability of conservation laws with discontinuous coefficients
Author(s):
Runhild Aae Klausen, mailto:Runhild.Aae.Klausen@nho.hydro.com
Nils Henrik Risebro, mailto:nilshr@math.uio.no
Publishing information:
Comments:
Submitted by:
mailto:nilshr@math.uio.no December 11 1997.


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