Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow |
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| Authors: | Gianluca Crippa Magali Lécureux-Mercier |
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| Institution: | 1. Departement Mathematik und Informatik, Universit?t Basel, Rheinsprung 21, 4051, Basel, Switzerland
2. Technion-Israel Institute of Technology, Amado Building, Haifa, 32000, Israel
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| Abstract: | 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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