The Stokes Operator with Robin Boundary Conditions in Solenoidal Subspaces ofL1(ℝn+) andL∞(ℝn+)

DOI10.1080/03605300601160408zbMath1221.35285OpenAlexW2160552061MaRDI QIDQ3436039

Jürgen Saal

Publication date: 8 May 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300601160408

zbMATH Keywords

holomorphic semigroupRobin boundary conditionsresolvent estimatesStokes systemStokes operatorinvariant multipliers

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Groups and semigroups of linear operators (47D03)

Related Items (7)

On estimates for the Stokes flow in a space of bounded functions ⋮ On existence, regularity and uniqueness of thermally coupled incompressible flows in a system of three dimensional pipes ⋮ Some uniqueness result of the Stokes flow in a half space in a space of bounded functions ⋮ On the large time \(L^\infty \)-estimates of the Stokes semigroup in two-dimensional exterior domains ⋮ The \(L^\infty\)-Stokes semigroup in exterior domains ⋮ Liouville theorems for the Stokes equations with applications to large time estimates ⋮ The vorticity equations in a half plane with measures as initial data

Cites Work

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• \(H^p\) spaces of several variables
• A solution formula for the Stokes equation in Rn+
• The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
• \(L^p\)-theory of the Stokes equation in a half space
• A decay property of the Fourier transform and its application to the Stokes problem

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