Application of the Schwarz function to boundary problems for Laplace's equation

DOI10.1002/mma.1670100106zbMath0647.35014OpenAlexW2054981706MaRDI QIDQ3791538

Robert F. Millar

Publication date: 1988

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670100106

zbMATH Keywords

existenceuniquenessLaplace equationsolutions in closed form

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

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An integral equation solution to the Dirichlet problem for Laplace's equation in an ellipse

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