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Stability of Conservation Laws with Discontinuous Coefficients

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We prove L1 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 L1 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. Copyright 1999 Academic Press.

Document Type: Research Article

Affiliations: 1: Research Centre, Norsk Hydro ASA, Bergen, 5200, Norway 2: Department of Mathematics, University of Oslo, Blindern, Oslo, N-0316, Norway

Publication date: September 1, 1999

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