From strong to very weak solutions to the Stokes system with Navier boundary concitions in the half-space

0333123 - MÚ 2010 RIV US eng J - Journal Article
Amrouche, Ch. - Nečasová, Šárka - Raudin, Y.
From strong to very weak solutions to the Stokes system with Navier boundary concitions in the half-space.
SIAM Journal on Mathematical Analysis. Roč. 41, č. 5 (2009), s. 1792-1815. ISSN 0036-1410. E-ISSN 1095-7154
R&D Projects: GA ČR GA201/05/0005
Institutional research plan: CEZ:AV0Z10190503
Keywords : Stokes problem * half-space * weighted Sobolev spaces
Subject RIV: BA - General Mathematics
Impact factor: 1.649, year: 2009

We consider the Stokes problem with slip-type boundary conditions in the half-space R-+(n), with n >= 2. The weighted Sobolev spaces yield the functional framework. We first study generalized and strong solutions and then the case with very low regularity of data on the boundary.
Permanent Link: http://hdl.handle.net/11104/0178189