Reduction of the fundamental initial-boundary-value problems for Stokes equations to initial-boundary-value problems for parabolic systems of pseudo-differential equations

DOI10.1007/BF02208710zbMath0696.35130MaRDI QIDQ910586

Gerd Grubb, Vsevolod A. Solonnikov

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/67907

zbMATH Keywords

resolventSobolev spacesStokes equationsinitial-boundary problemscoercivity estimatessingular Green operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations of solutions to PDEs (35C15) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Cites Work

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• Functional calculus of pseudo-differential boundary problems
• The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations
• Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier-Stokes system
• Caractérisation de quelques espaces d'interpolation

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