Solvability of the stationary Stokes system in spaces H²-μ, μ ∈ (0,1)
Ewa Zadrzyńska ; Wojciech M. Zajączkowski
Applicationes Mathematicae, Tome 37 (2010), p. 13-38 / Harvested from The Polish Digital Mathematics Library
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We consider the stationary Stokes system with slip boundary conditions in a bounded domain. Assuming that data functions belong to weighted Sobolev spaces with weights equal to some power of the distance to some distinguished axis, we prove the existence of solutions to the problem in appropriate weighted Sobolev spaces.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:279865 
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     author = {Ewa Zadrzy\'nska and Wojciech M. Zaj\k aczkowski},
     title = {Solvability of the stationary Stokes system in spaces $H2\_{-m}$, m [?] (0,1)},
     journal = {Applicationes Mathematicae},
     volume = {37},
     year = {2010},
     pages = {13-38},
     zbl = {1188.35155},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-2}
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Ewa Zadrzyńska; Wojciech M. Zajączkowski. Solvability of the stationary Stokes system in spaces $H²_{-μ}$, μ ∈ (0,1). Applicationes Mathematicae, Tome 37 (2010) pp. 13-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am37-1-2/