Well-posedness of the scalar and the vector advection-reaction problems in Banach graph spaces

Pierre Cantin (1)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

An extension of the well-posedness analysis of the scalar and the vector advection-reaction problem in Banach graph spaces of power p ∈ (1, ∞) is proposed. This analysis is based on the sign of the associated Friedrichs tensor, taking positive, null or reasonably negative values.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Pierre Cantin. Well-posedness of the scalar and the vector advection-reaction problems in Banach graph spaces. 2016. ⟨hal-01407024⟩