New characterization of the kernel of the n-dimensional Laplace operator in exterior domains

Chérif Amrouche (1) , Huy Hoang Nguyen (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

In this Note, we study the characterization of the kernel of the Laplace operator with Dirichlet boundary conditions in exterior domains. We consider data in weighted Sobolev spaces.

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Huy Hoang Nguyen. New characterization of the kernel of the n-dimensional Laplace operator in exterior domains. 2008. ⟨hal-00297271⟩