Solving the Poisson equation on a surface by reduction to a 1-dimensional problem

zbMath1183.30046MaRDI QIDQ731441

Charles L. Epstein, Leslie F. Greengard

Publication date: 6 October 2009

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemLaplace equationPoisson equationconformal coordinatesSmooth closed surface

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Riemann-Hilbert problems in context of PDEs (35Q15)

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