On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator

DOI10.1070/RM2003v058n02ABEH000613zbMath1059.35101MaRDI QIDQ4829598

Vsevolod A. Solonnikov

Publication date: 29 November 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

surveypointwise estimatesGreen's matrix\(L_{q,r}\)-estimatesStokes problem in the half-space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Spectrum, resolvent (47A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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