Equivalence of \textit{BMO}-type norms with applications to the heat and Stokes semigroups
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Publication:1650761
DOI10.1007/s11118-017-9650-xzbMath1395.30057OpenAlexW2397344816MaRDI QIDQ1650761
Takuya Suzuki, Yoshikazu Giga, Martin Bolkart, Yohei Tsutsui
Publication date: 13 July 2018
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-017-9650-x
Heat equation (35K05) Stokes and related (Oseen, etc.) flows (76D07) Groups and semigroups of linear operators (47D03) BMO-spaces (30H35)
Related Items (7)
The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain ⋮ Maximal regularity for the Cauchy problem of the heat equation in BMO ⋮ The Helmholtz decomposition of a \textit{BMO} type vector field in a slightly perturbed half space ⋮ Regularity criterion in terms of \textit{BMO}-type norm of the pressure gradient for the Navier-Stokes equations on unbounded domains ⋮ Normal trace for a vector field of bounded mean oscillation ⋮ The Helmholtz decomposition of a \(BMO\) type vector field in general unbounded domains ⋮ Local-in-time solvability and space analyticity for the Navier-Stokes equations with BMO-type initial data
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