Control of the Continuity Equation with a Non Local Flow

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dc.creatorColombo, Rinaldo M.
dc.creatorHerty, Michael
dc.creatorMercier, Magali
dc.date2009-02-16
dc.date.accessioned2026-07-07T12:42:13Z
dc.date.available2026-07-07T12:42:13Z
dc.descriptionThis paper focuses on the optimal control of weak (i.e. in general non smooth) solutions to the continuity equation with non local flow. Our driving examples are a supply chain model and an equation for the description of pedestrian flows. To this aim, we prove the well posedness of a class of equations comprising these models. In particular, we prove the differentiability of solutions with respect to the initial datum and characterize its derivative. A necessary condition for the optimality of suitable integral functionals then follows.
dc.identifierhttps://arxiv.org/abs/0902.2623
dc.identifierhttp://arxiv.org/abs/0902.2623
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219997
dc.subjectAnalysis of PDEs
dc.subjectOptimization and Control
dc.subject35L65, 49K20, 93C20
dc.titleControl of the Continuity Equation with a Non Local Flow
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