Decomposition theorems for the generalized metaharmonic equation in several independent variables

DOI10.1017/S1446788700010582zbMath0226.35012OpenAlexW2073072036MaRDI QIDQ5632985

David Colton

Publication date: 1972

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700010582

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• A contribution to the analytic theory of partial differential equations
• An Investigation of the Analytic Properties of Solutions to the Generalized Axially Symmetric, Reduced Wave Equation in $n + 1$ Variables, with an Application to the Theory of Potential Scattering
• Function theoretic methods in the theory of boundary value problems for generalized metaharmonic functions
• John's Decomposition Theorem for Generalized Metaharmonic Functions
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions
• The analytic theory of systems of partial differential equations

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