Interpolation of sum and intersection spaces of \(L^q\)-type and applications to the Stokes problem in general unbounded domains

DOI10.1007/s11565-011-0140-6zbMath1307.46012OpenAlexW2054417381MaRDI QIDQ473498

Paul Felix Riechwald

Publication date: 24 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-011-0140-6

zbMATH Keywords

interpolationunbounded domainStokes problemStokes semigroupsum and intersection spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Interpolation between normed linear spaces (46B70)

Related Items (5)

Regularity criterion in terms of \textit{BMO}-type norm of the pressure gradient for the Navier-Stokes equations on unbounded domains ⋮ 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 ⋮ 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

Cites Work

• On the Helmholtz decomposition in general unbounded domains
• \(H^{\infty}\)-calculus for the Stokes operator on unbounded domains
• On the Stokes operator in general unbounded domains
• An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains
• Interpolation spaces and interpolation methods
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
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