A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation
Gerd Grubb, Vsevolod A. Solonnikov (1988)
Journées équations aux dérivées partielles
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Displaying similar documents to “Regularity properties of semilinear boundary problems in Besov and Triebel-Lizorkin spaces”
A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation
The Dirichlet boundary conditions and related natural boundary conditions in strengthened Sobolev spaces for discretized parabolic problems.
D'yakonov, E. (2000)
Discrete Dynamics in Nature and Society
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The Dirichlet-Neumann operator on continuous functions
Joachim Escher (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Singular perturbations and parameter-dependent pseudo-differential boundary problems
Gerd Grubb (1986)
Journées équations aux dérivées partielles
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Resolvents of boundary problems for pseudo-differential operators without the transmission property
S. Rempel, Bert-Wolfgang Schultze (1982)
Journées équations aux dérivées partielles
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Regularity of the solutions of elliptic systems in polyhedral domains.
Nicaise, Serge (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
F. Guillén-González, M. A. Rodríguez-Bellido, M. A. Rojas-Medar (2004)
Annales de l'I.H.P. Analyse non linéaire
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Existence of solutions vanishing near some axis for the nonstationary Stokes system with boundary slip conditions
W. M. Zajączkowski
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We examine the nonstationary Stokes system in a bounded domain with the boundary slip conditions. We assume that there exists a line which crosses the domain and that the data belong to Sobolev spaces with weights equal to some powers of the distance to the line. Then the existence of solutions in Sobolev spaces with the corresponding weights is proved.