Die C-Vollständigkeit partikulaerer Lösungssysteme der Schwingungsgleichung Delta U + \(k^ 2\) U = 0

DOI10.1007/BF03322975zbMath0474.35038MaRDI QIDQ1159330

S. H. Smith

Publication date: 1981

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationapproximation propertyCauchy-Riemann differential operatorDirichlet- and Neumann problemRunge-Walsh approximation theoremssystems of special functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Related Items (3)

On the simulation source technique for exterior problems in acoustics ⋮ On Density and Approximation Properties of Special Solutions of the Helmohltz Equation ⋮ Runge-Walsh-wavelet approximation for the Helmholtz equation

Cites Work

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• Grenz- und Sprungrelationen für Potentiale mit quadratsummierbarer Flächenbelegung
• Zwei Klassen vollständiger Funktionensysteme zur Behandlung der Randwertaufgaben der Schwingungsgleichung ΔU + k2U = 0

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