The exterior Neumann problem for the three-dimensional Helmholtz equation

DOI10.1007/BF00253158zbMath0149.31804OpenAlexW2071859269MaRDI QIDQ2525230

Ergun Ar, Ralph E. Kleinman

Publication date: 1966

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00253158

zbMATH Keywords

exterior Neumann probleminfinite series solutionthree-dimensional Helmholtz equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• Randwertproblem der mathematischen Akustik
• The Dirichlet problem for the Helmholtz equation
• Zur Methode der Strahlungskapazität von H. Weyl
• A Generalization of Theorems of Rellich and Atkinson
• Kapazität von Strahlungsfeldern
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