On \(L^\infty \)-\textit{BMO} estimates for derivatives of the Stokes semigroup

DOI10.1007/s00209-016-1693-yzbMath1354.35065OpenAlexW2464040626MaRDI QIDQ343649

Martin Bolkart, Yoshikazu Giga

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-016-1693-y

zbMATH Keywords

uniquenessStokes equations\(L^\infty \) estimate\textit{BMO}blow-up argument

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44)

Related Items (7)

Equivalence of \textit{BMO}-type norms with applications to the heat and Stokes semigroups ⋮ The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain ⋮ The Helmholtz decomposition of a \textit{BMO} type vector field in a slightly perturbed half space ⋮ Normal trace for a vector field of bounded mean oscillation ⋮ The Helmholtz decomposition of a \(BMO\) type vector field in general unbounded domains ⋮ Analyticity of the Stokes semigroup in \textit{BMO}-type spaces ⋮ Continuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary condition

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