On the existence of solutions in weighted Sobolev spaces for the exterior Oseen problem

In this Note, we present existence and uniqueness results for the exterior Oseen problem. In order to control the behavior at infinity of functions, we use as functional framework weighted Sobolev spaces. The results rely on a $L^p$-theory for $1<p<\infty$. To cite this article: C. Amrouche, U. Razafison, C. R. Acad. Sci. Paris, Ser. I 341 (2005).