\(H^{\infty}\)-calculus for the Stokes operator on unbounded domains

DOI10.1007/s00013-008-2621-0zbMath1160.47058OpenAlexW2141982487MaRDI QIDQ944206

Peer Christian Kunstmann

Publication date: 12 September 2008

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-008-2621-0

zbMATH Keywords

fractional powersunbounded domainStokes operatorHelmholtz decomposition

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Functional calculus for linear operators (47A60) General theory of partial differential operators (47F05) Applications of operator theory to differential and integral equations (47N20)

Related Items (9)

On the energy equality of Navier-Stokes equations in general unbounded domains ⋮ Interpolation of sum and intersection spaces of \(L^q\)-type and applications to the Stokes problem in general unbounded domains ⋮ Navier-stokes equations on unbounded domains with rough initial data ⋮ Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria ⋮ Very weak solutions and the Fujita-Kato approach to the Navier-Stokes system in general unbounded domains ⋮ Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains ⋮ Weak Neumann implies \(H^\infty\) for Stokes ⋮ Very weak solutions to the Navier-Stokes system in general unbounded domains ⋮ Regularity criteria for weak solutions of the Navier-Stokes system in general unbounded domains

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