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Stokes problem in \(\mathbb{R}^n\) and weighted Sobolev spaces. (Problème de Stokes dans \(\mathbb{R}^n\) et espaces de Sobolev avec poids.) (French. Abridged English version) Zbl 0894.35082
Summary: We present isomorphism results for the Stokes problem in \(\mathbb{R}^n\) using weighted Sobolev spaces and we study the asymptotic behaviour of the solutions. We also study this problem with data in the Hardy space \({\mathcal H}^1(\mathbb{R}^n)\) as well as a few properties of solenoidal functions.

MSC:
35Q30 Navier-Stokes equations
35B40 Asymptotic behavior of solutions to PDEs
76D07 Stokes and related (Oseen, etc.) flows
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