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.

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Stability of conservation laws with discontinuous coefficients
Runhild Aae Klausen, <>
Nils Henrik Risebro, <>
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<> December 11 1997.

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