Weighted \(L^p-L^q\) estimates of the Stokes semigroup in some unbounded domains

DOI10.21099/tkbjm/1389972027zbMath1282.35103OpenAlexW2272511170MaRDI QIDQ2434898

Takayuki Kobayashi, Takayuki Kubo

Publication date: 31 January 2014

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tkbjm/1389972027

zbMATH Keywords

Helmholtz decompositionMuckenhoupt weighthalf-spaceperturbed half-spaceweight and the weighted resolvent estimates

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45)

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Navier-Stokes flow in the weighted Hardy space with applications to time decay problem ⋮ Optimal well-posedness and forward self-similar solution for the Hardy-Hénon parabolic equation in critical weighted Lebesgue spaces ⋮ Anisotropically weighted Lq$L^q$‐Lr$L^r$ estimates of the Oseen semigroup in exterior domains, with applications to the Navier–Stokes flow past a rigid body ⋮ Equivalent conditions for the consistency of the Helmholtz decomposition of Muckenhoupt \(A_p\)-weighted \(L_p\)-spaces ⋮ On fractional Leibniz rule for Dirichlet Laplacian in exterior domain ⋮ On weighted estimates for the Stokes flows, with application to the Navier-Stokes equations ⋮ Weighted L p − L q Estimates of Stokes Semigroup in Half-Space and Its Application to the Navier-Stokes Equations

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