Bounded Analyticity of the Stokes Semigroup on Spaces of Bounded Functions

DOI10.1007/978-3-0348-0939-9_15zbMath1338.35364OpenAlexW2464918529MaRDI QIDQ2806216

Paolo Maremonti, Matthias Hieber

Publication date: 17 May 2016

Published in: Recent Developments of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0939-9_15

zbMATH Keywords

Stokes semigroup\(L^\infty\)-estimatesmaximum modulus theorembounded analytic semigroups

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs in connection with fluid mechanics (35Q35) One-parameter semigroups and linear evolution equations (47D06) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (10)

Quasi-maximum modulus principle for the Stokes equations ⋮ On the two-dimensional Stokes problem in exterior domains: the maximum modulus theorem ⋮ On \(L^\infty \)-\textit{BMO} estimates for derivatives of the Stokes semigroup ⋮ On the Stokes resolvent estimates for cylindrical domains ⋮ Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces ⋮ On the large time \(L^\infty \)-estimates of the Stokes semigroup in two-dimensional exterior domains ⋮ Liouville theorems for the Stokes equations with applications to large time estimates ⋮ Preface ⋮ A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains ⋮ On the \(L^p-L^q\) estimates of the gradient of solutions to the Stokes problem

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