The resolvent problem and \(H^\infty\)-calculus of the Stokes operator in unbounded cylinders with several exits to infinity

DOI10.1007/s00028-007-0300-4zbMath1170.35073OpenAlexW2037261973MaRDI QIDQ2463773

Ri Myong-Hwan, Reinhard Farwig

Publication date: 6 December 2007

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-007-0300-4

zbMATH Keywords

Stokes operatorMuckenhoupt weightsStokes semigroupunbounded cylindrical domains\(H^{\infty}\)-calculusStokes resolvent estimate

Mathematics Subject Classification ID

Related Items (8)

Global well-posedness for Navier-Stokes equations with small initial value in \(B^{0}_{n,\infty}(\Omega)\) ⋮ Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces ⋮ Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain ⋮ On Stokes operators with variable viscosity in bounded and unbounded domains ⋮ Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains ⋮ The Navier-Stokes equations with the Neumann boundary condition in an infinite cylinder ⋮ Weak Neumann implies \(H^\infty\) for Stokes ⋮ Incompressible Navier-Stokes flows with time-dependent prescribed fluxes in domains with cylindrical outlets to infinity

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