The helmhotz decomposition of weighted lr-Spaces

DOI10.1080/03605309908820687zbMath0706.46025OpenAlexW1978308512MaRDI QIDQ3488001

Maria Specovius-Neugebauer

Publication date: 1990

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908820687

zbMATH Keywords

fluid mechanicselectromagnetismdivergence-freecurl-freedecomposition of vector fields into solenoidal vector fields and gradient fieldsweighted \(L^ p\) space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Spaces of vector- and operator-valued functions (46E40) Navier-Stokes equations (35Q30)

Related Items

\(L^p\)-theory for the exterior Stokes problem with Navier's type slip-without-friction boundary conditions ⋮ Weak solutions of the Stokes problem in weighted Sobolev spaces ⋮ Hodge–Helmholtz decompositions of weighted Sobolev spaces in irregular exterior domains with inhomogeneous and anisotropic media ⋮ WeightedL^p‐theory for vector potential operators in three‐dimensional exterior domains

Cites Work

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• Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Boundary value problems for asymptotically homogeneous elliptic second order operators
• The null spaces of elliptic partial differential operators in R\(^n\)
• On the Navier-Stokes initial value problem. I
• Problèmes aux limites non homogenes. VI
• The method of orthogonal projection in potential theory
• The behavior of the laplacian on weighted sobolev spaces
• Boundary value problems for the laplacian in an exterior domain
• The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
• Elliptic operators and the decomposition of tensor fields
• Exterior stokes problems and decay at infinity