Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains

DOI10.2307/1971407zbMath0658.35027OpenAlexW2318244794MaRDI QIDQ1111761

Carlos E. Kenig, Björn E. J. Dahlberg

Publication date: 1987

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971407

zbMATH Keywords

interpolationharmonic functionDirichlet boundary conditionNeumann problembounded Lipschitz domainnon-tangential limitatomic \(H^ 1\) spacegeneralized normal derivative

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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