A priori estimates for solutions of the Helmholtz equation in exterior domains and their application

DOI10.1016/0022-247X(69)90047-XzbMath0174.15001OpenAlexW2080366630MaRDI QIDQ2532491

David Colton

Publication date: 1969

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(69)90047-x

zbMATH Keywords

exterior domainsa-priori estimatessolutions of Helmholtz equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

The scope of the function theoretic approach for equations permitting a separation of variables

Cites Work

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• On solutions of \(\Delta V + V =\) in an exterior region
• On solutions of the Helmholtz equation in exterior domains
• A contribution to the analytic theory of partial differential equations
• Analytic theory and uniqueness problems for the generalized, axially symmetric Schrödinger equation
• Über die ganzen Lösungen der Wellengleichung
• A Contribution to the Vekua-Rellich Theory of Metaharmonic Functions
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions

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