Contractive metrics for scalar conservation laws

Details Contractive metrics for scalar conservation laws Contractive metrics for scalar conservation laws

2005-04-07

arxiv.org/abs/math/0504136v1

Mathematics

Analysis of PDEs

Scientific paper

We consider nondecreasing entropy solutions to 1-d scalar conservation laws
and show that the spatial derivatives of such solutions satisfy a contraction
property with respect to the Wasserstein distance of any order. This result
extends the L^1-contraction property shown by Kruzkov.

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