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On the semigroup of the Stokes operator for exterior domains inLq-spaces

✍ Scribed by Wolfgang Borchers; Hermann Sohr

Publisher: Springer-Verlag
Year: 1987
Tongue: French
Weight: 535 KB
Volume: 196
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01200362

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## Abstract We introduce a new concept for weak solutions in __L__^__q__^‐spaces, 1 < __q__ < ∞, of the Stokes system in an exterior domain Ω ⊂ ℝ^n^, __n__ ⩾ 2. Defining the variational formulation in the homogeneous Sobolev space \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop H\