Advances in Nonlinear Analysis (Aug 2017)

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

  • Al Baba Hind

DOI
https://doi.org/10.1515/anona-2017-0012
Journal volume & issue
Vol. 8, no. 1
pp. 743 – 761

Abstract

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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 LpL^{p}-LqL^{q} regularity results for the non-homogeneous Stokes problem.

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