A contribution to the analytic theory of partial differential equations

DOI10.1016/0022-0396(69)90107-7zbMath0165.12102OpenAlexW2013597406MaRDI QIDQ2529691

David Colton

Publication date: 1969

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(69)90107-7

zbMATH Keywords

partial differential equations

Related Items (7)

Decomposition theorems for the generalized metaharmonic equation in several independent variables ⋮ A similarity principle for locally solvable vector fields. ⋮ A comparison of two methods for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium ⋮ A numerical technique for backward inverse heat conduction problems in one-dimensional space ⋮ A priori estimates for solutions of the Helmholtz equation in exterior domains and their application ⋮ Analytic theory and uniqueness problems for the generalized, axially symmetric Schrödinger equation ⋮ Completeness property of generalized Helmholtz polynomials

Cites Work

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• On solutions of the Helmholtz equation in exterior domains
• Zur Funktionentheorie der Wellengleichung. Mit Anwendungen auf spezielle Reihen und Integrale mit Besselschen, Whittakerschen und Mathieuschen Funktionen
• Singularities of generalized axially symmetric potentials
• On Solutions of the Generalized Axially Symmetric Wave Equation Represented by Bergman Operators
• A convergent ‘farfield’ expansion for two‐dimensional radiation functions
• The analytic theory of systems of partial differential equations

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