Some orthogonal decompositions of Sobolev spaces and applications

DOI10.4064/CM89-2-5zbMath0988.46023OpenAlexW2068247310MaRDI QIDQ2759163

Yulii A. Dubinskii, Heinrich Begehr

Publication date: 11 December 2001

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm89-2-5

zbMATH Keywords

Sobolev spacesboundary value problemsStokes problemvariational problemspolyharmonic functionsbounded Lipschitz domainorthogonal decompositionsolenoidal functionssubspaces of harmonic functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Navier-Stokes equations (35Q30) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (3)

Hardy Spaces for the Three-Dimensional Vekua Equation ⋮ Heinrich Begehr: Citation for his 70th birthday ⋮ Some higher order Cauchy–Pompeiu integral representations

This page was built for publication: Some orthogonal decompositions of Sobolev spaces and applications