Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions

0502148 - MÚ 2019 RIV DE eng J - Journal Article
Al Baba, Hind
Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions.
Advances in Nonlinear Analysis. Roč. 8, č. 1 (2019), s. 743-761. ISSN 2191-9496. E-ISSN 2191-950X
R&D Projects: GA ČR GA16-03230S
Institutional support: RVO:67985840
Keywords : non-homogeneous Stokes problem * slip boundary conditions * maximal regularity * complex and fractional powers of operators
OECD category: Pure mathematics
Impact factor: 2.667, year: 2019
https://www.degruyter.com/view/j/anona.2019.8.issue-1/anona-2017-0012/anona-2017-0012.xml

We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor. This is fundamental and plays an important role in the associated parabolic problem and will be used to prove maximal L p -L q regularity results for the non-homogeneous Stokes problem.
Permanent Link: http://hdl.handle.net/11104/0294106