Boundary integral equations for the Helmholtz equation: The third boundary value problem

DOI10.1002/mma.1670040112zbMath0505.35026OpenAlexW2059260364MaRDI QIDQ4740887

Ralph E. Kleinman, Thomas S. Angell

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1002/mma.1670040112

zbMATH Keywords

existenceuniquenessboundary integral equationsthird boundary value problemtrace theoremssingle- and double layer potentials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

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• On the boundary values of the solutions of elliptic equations
• On Neumann's method for the exterior Neumann problem for the Helmholtz equation
• Potential techniques for boundary value problems on \(C^1\)-domains
• Teoremi di completezza sulla frontiera di un dominio per taluni sistemi di funzioni
• Impedance boundary conditions for imperfectly conducting surfaces
• The Fredholm Method in Potential Theory
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
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