Bounded Imaginary Powers and H∞-Calculus of the Stokes Operator in Unbounded Domains

DOI10.1007/3-7643-7385-7_1zbMath1109.35084OpenAlexW1489437911MaRDI QIDQ3369345

Helmut Abels

Publication date: 13 February 2006

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-7643-7385-7_1

zbMATH Keywords

semigroupStokes operatorexterior domains\(H_\infty\)-calculus

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Functional calculus for linear operators (47A60) General theory of partial differential operators (47F05)

Related Items (8)

A Remark on Maximal Regularity of the Stokes Equations ⋮ Solvability of some inverse problems for the nonstationary heat-and-mass-transfer system ⋮ On some inverse problems for a linearized system of heat and mass transfer ⋮ Maximal \(L_p\)-regularity of non-local boundary value problems ⋮ On Stokes operators with variable viscosity in bounded and unbounded domains ⋮ The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels ⋮ Weak Neumann implies \(H^\infty\) for Stokes ⋮ Coercivity and stability results for an extended Navier-Stokes system

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