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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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