Lösungen der poissongleichung und harmonische vektorfelder in unbeschränkten gebieten

DOI10.1002/mma.1670050117zbMath0521.35016OpenAlexW2079796732MaRDI QIDQ3671573

Jürgen Mäulen

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050117

zbMATH Keywords

existenceuniquenessPoincare inequalityharmonic fieldsDirichlet or Neumann boundary data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (4)

The poisson equation with weights in exterior domains of Rⁿ ⋮ ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS ⋮ The Dirichlet Problem for Second Order Elliptic Operators on Unbounded Domains ⋮ A variational approach in weighted Sobolev spaces to the operator \(- \Delta +\partial /\partial x_ 1\) in exterior domains of \({\mathbb{R}}^ 3\)

Cites Work

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• On an integral equation in electromagnetic diffraction theory
• A distribution-theoretical approach to certain Lebesgue and Sobolev spaces
• On the exterior boundary value problem of perfect reflection for stationary electromagnetic wave fields
• Harmonic fields in Riemannian manifolds (Generalized potential theory)
• Harmonic tensors on Riemannian manifolds with boundary

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