New estimates for the div-curl-grad operators and elliptic problems with L1-data in the half-space

Chérif Amrouche (1) , Huy Hoang Nguyen (2)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 IMECC - Instituto de Matemática, Estatística e Computação Científica [Brésil]

In this Note, we study some properties of the div-curl-grad operators and elliptic problems in the half-space. We consider data in weighted Sobolev spaces and in L1.

Mots clés: Div-curl-grad operators; Elliptic; Half-space; Weighted Sobolev spaces

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Huy Hoang Nguyen. New estimates for the div-curl-grad operators and elliptic problems with L1-data in the half-space. Applied Mathematics Letters, 2011, 24 (5), pp.697-702. ⟨10.1016/j.aml.2010.12.008⟩. ⟨hal-00549184⟩