We examine the nonstationary Stokes system in a bounded domain with the boundary slip conditions. We assume that there exists a line which crosses the domain and that the data belong to Sobolev spaces with weights equal to some powers of the distance to the line. Then the existence of solutions in Sobolev spaces with the corresponding weights is proved.
@book{bwmeta1.element.bwnjournal-rm-doi-10_4064-dm400-0-1,
author = {W. M. Zaj\k aczkowski},
title = {Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions},
series = {GDML\_Books},
year = {2002},
zbl = {1002.76003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm400-0-1}
}
W. M. Zajączkowski. Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions. GDML_Books (2002), http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm400-0-1/