\(H^\infty\)-calculus for generalized Stokes operators

DOI10.1007/s00028-018-0466-yzbMath1401.35294OpenAlexW2891905319MaRDI QIDQ1991724

Jan W. Prüss

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s00028-018-0466-y

zbMATH Keywords

fractional powersmaximal \(L_p\)-regularity\(\mathcal{H}^\infty\)-calculusgeneralized Stokes operators

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological flow (92C35)

Related Items (2)

Short-time existence of a quasi-stationary fluid-structure interaction problem for plaque growth ⋮ \(H^\infty\)-calculus for the surface Stokes operator and applications

Cites Work

• Unnamed Item
• Unnamed Item
• On critical spaces for the Navier-Stokes equations
• Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
• \(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces
• New thoughts on old results of R. T. Seeley
• Critical spaces for quasilinear parabolic evolution equations and applications
• Maximal regularity for evolution equations in weighted \(L_p\)-spaces
• Stokes and Navier-Stokes equations with Robin boundary conditions in a half-space
• Moving Interfaces and Quasilinear Parabolic Evolution Equations
• Analysis in Banach Spaces
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows
• $L_p$-Theory for a Class of Non-Newtonian Fluids

This page was built for publication: \(H^\infty\)-calculus for generalized Stokes operators