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arxiv: 1112.4132 · v1 · pith:USNGLVBAnew · submitted 2011-12-18 · 🧮 math.AP

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow

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keywords continuityexistenceflowmeasurenon-localsolutionsuniquenessassociated
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In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a stability result with respect to various parameters.

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