Solvability of the stationary Stokes system in spaces $H{²}_{-\mu }$, μ ∈ (0,1)

Ewa Zadrzyńska, and Wojciech M. Zajączkowski. "Solvability of the stationary Stokes system in spaces $H²_{-μ}$, μ ∈ (0,1)." Applicationes Mathematicae 37.1 (2010): 13-38. <http://eudml.org/doc/279865>.

@article{EwaZadrzyńska2010,
abstract = {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.},
author = {Ewa Zadrzyńska, Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {stationary Stokes system; weighted Sobolev spaces; existence in weighted Sobolev spaces; slip boundary conditions},
language = {eng},
number = {1},
pages = {13-38},
title = {Solvability of the stationary Stokes system in spaces $H²_\{-μ\}$, μ ∈ (0,1)},
url = {http://eudml.org/doc/279865},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Ewa Zadrzyńska
AU - Wojciech M. Zajączkowski
TI - Solvability of the stationary Stokes system in spaces $H²_{-μ}$, μ ∈ (0,1)
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 1
SP - 13
EP - 38
AB - 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.
LA - eng
KW - stationary Stokes system; weighted Sobolev spaces; existence in weighted Sobolev spaces; slip boundary conditions
UR - http://eudml.org/doc/279865
ER -