Exterior Stokes problem in the half-space
Résumé
The purpose of this work is to solve the exterior Stokes problem in the half-space $\R{^n_+}$. We study the existence and the uniqueness of generalized solutions in weighted $L^p$ theory with $1 < p < \infty$. Moreover, we consider the case of strong solutions and very weak solutions. This paper extends the studies done in \cite{AA2} for an exterior Stokes problem in the whole space and in \cite{AB2} for the study of the Laplace equation in the same geometry as here.
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