A chart preserving the normal vector and extensions of normal derivatives in weighted function spaces

DOI10.1007/s10587-009-0057-8zbMath1218.47019OpenAlexW1983359588MaRDI QIDQ3070150

Katrin Schumacher

Publication date: 2 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37948

zbMATH Keywords

coordinate transformationnormal vectorextension theoremMuckenhoupt weightnormal derivativechart

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dilations, extensions, compressions of linear operators (47A20) Other special methods applied to PDEs (35A25)

Related Items (6)

The instationary Stokes equations in weighted Bessel-potential spaces ⋮ Degenerate equations for flow and transport in clogging porous media ⋮ The stationary Navier-Stokes equations in weighted Bessel-potential spaces ⋮ On Stokes operators with variable viscosity in bounded and unbounded domains ⋮ Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces ⋮ A unified framework for parabolic equations with mixed boundary conditions and diffusion on interfaces

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• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
• Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data

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