On the steady Oseen problem in the whole space

We deal with Oseen’s equations in the whole space. A class of existence, uniqueness and regularity results for both the scalar and the vectorial equations are given. Isotropic weighted Sobolev spaces are used for describing the growth or the decay of functions at infinity.

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Veröffentlicht in:Hiroshima mathematical journal 2005-11, Vol.35 (3), p.371-401
Hauptverfasser: Boulmezaoud, T. Z., Razafison, U.
Format: Artikel
Sprache:eng
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Zusammenfassung:We deal with Oseen’s equations in the whole space. A class of existence, uniqueness and regularity results for both the scalar and the vectorial equations are given. Isotropic weighted Sobolev spaces are used for describing the growth or the decay of functions at infinity.
ISSN:0018-2079
DOI:10.32917/hmj/1150998318