scholarly journals Generalized Darcy-Oseen resolvent problem

2016 ◽  
Vol 39 (6) ◽  
pp. 1621-1630
Author(s):  
Dagmar Medková ◽  
Mariya Ptashnyk ◽  
Werner Varnhorn
Keyword(s):  
Resolvent Problem

scholarly journals On the resolvent problem

1976 ◽  
Vol 109 (1) ◽  
pp. 391-391
Author(s):  
Richard Brauer
Keyword(s):  
Resolvent Problem

The resolvent problem for the Stokes system in exterior domains: uniqueness and non-regularity in Hölder spaces

1992 ◽  
Vol 122 (1-2) ◽  
pp. 1-10 ◽  
Author(s):  
Paul Deuring
Keyword(s):  
Boundary Conditions ◽  
Existence Result ◽  
Stokes System ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Exterior Domains ◽  
Hölder Spaces ◽  
Image Position ◽  
Holder Spaces ◽  
Resolvent Problem

SynopsisWe consider the resolvent problem for the Stokes system in exterior domains, under Dirichlet boundary conditions:where Ω is a bounded domain in ℝ3. It will be shown that in general there is no constant C > 0 such that for with , div u = 0, and for with . However, if a solution (u, π) of problem (*) exists, it is uniquely determined, provided that u(x) and ∇π(x) decay for large values of |x|. These assertions imply a non-existence result in Hölder spaces.

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