Well-posedness of an epidemiological problem described by an evolution PDE
2008
Perasso , Antoine (INRA , Jouy-En-Josas (France). UR 0341 Unité de recherche Mathématiques et Informatique Appliquées) | Laroche , Béatrice (Ecole Supérieure d'Electricité, Gif -sur-Yvette(France). Laboratoire des signaux et systèmes - L2S)
This paper investigates the well-posedness for a non linear transport equation system that models the spread of prion diseases in a managed flock. Existence and uniqueness of solutions are proved with the use of semigroup theory in the case of a Lipschitz perturbation and presence of boundary conditions. Finally, the characteristics of the transport part of the equations allow us to give an implicit expression of the solution.
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