On the Stokes system and on the biharmonic equation in the half‐space: an approach via weighted Sobolev spaces
Copyright policy )On the Stokes system and on the biharmonic equation in the half‐space: an approach via weighted Sobolev spaces
AbstractIn this paper, we investigate the Stokes system and the biharmonic equation in a half‐space of ℝn. Our approach rests on the use of a family of weighted Sobolev spaces as a framework for describing the behaviour at infinity. A complete class of existence, uniqueness and regularity results for both the problems is proved. The proofs are mainly based on the principle of reflection. Copyright © 2002 John Wiley & Sons, Ltd.
regularity, biharmonic equation, Stokes system, existence, uniqueness, Biharmonic and polyharmonic equations and functions in higher dimensions, weighted Sobolev spaces, Stokes and related (Oseen, etc.) flows, Boundary value problems for second-order elliptic equations, half-space, Navier-Stokes equations, unbounded domains
regularity, biharmonic equation, Stokes system, existence, uniqueness, Biharmonic and polyharmonic equations and functions in higher dimensions, weighted Sobolev spaces, Stokes and related (Oseen, etc.) flows, Boundary value problems for second-order elliptic equations, half-space, Navier-Stokes equations, unbounded domains
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