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Théorie générale d’équation de type hyperbolique-parabolique non linéaire

Abstract : We develop general theory for degenerate hyperbolic-parabolic type problems using semi-group theory in Banach spaces. We establish existence, uniqness results and continuous dependance with respects to data for mild solution. Similar results are developped for weak solution of entropy type, and existence of solutions are studied.
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https://hal.inria.fr/hal-01277840
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Hamidou Touré. Théorie générale d’équation de type hyperbolique-parabolique non linéaire. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2008, 9, pp.381-386. ⟨hal-01277840⟩

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