A mean boundary value problem for a generalized axisymmetric potential on doubly connected regions

DOI10.1016/0022-247X(80)90074-8zbMath0504.35028MaRDI QIDQ1836089

Peter A. McCoy

Publication date: 1980

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

zbMATH Keywords

doubly connected regionsmean boundary value problemgeneralized axisymmetric potentialexplicit expansion formulaassociated analytic function

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Potentials and capacities on other spaces (31C15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (1)

Solving boundary value problems with ``average data sampled on an arc

Cites Work

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• Constructive methods for fourth-order elliptic equations
• Mean Boundary Value Problems for a Class of Elliptic Equations in E 3
• Axisymmetric Harmonic Interpolation Polynomials in R N
• Fractional Derivatives and Special Functions
• Polynomial Approximation and Growth of Generalized Axisymmetrig Potentials
• Interpolation and Approximation of Axisymmetric Harmonic Functions
• Recapturing a Holomorphic Function on an Annulus from its Mean Boundary Values
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• Applications of a Class of Singular Partial Differential Equations to Gegenbauer Series which Converge to Zero
• Some Linear Operators in the Theory of Partial Differential Equations
• Approximation and harmonic continuation of axially symmetric potentials in \(E^3\)

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