Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains

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DOI10.1016/0022-1236(84)90066-1zbMath0589.31005OpenAlexW1980928855MaRDI QIDQ1073972

Gregory C. Verchota

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90066-1

zbMATH Keywords

regularity harmonic functions Dirichlet and Neumann problems layer potentials Lipschitz boundary

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary behavior of harmonic functions in higher dimensions (31B25)

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