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arxiv: math/0504136 · v1 · pith:D3ZVNG72new · submitted 2005-04-07 · 🧮 math.AP

Contractive metrics for scalar conservation laws

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keywords conservationcontractionlawspropertyscalarsolutionsconsidercontractive
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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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