Preprint 1997037
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,
<Runhild.Aae.Klausen@nho.hydro.com>
 Nils Henrik Risebro,
<nilshr@math.uio.no>
 Publishing information:

 Comments:

 Submitted by:

<nilshr@math.uio.no>
December 11 1997.
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