The Dirichlet problem with non-compact boundary

DOI10.1007/BF03025715zbMath0789.31006MaRDI QIDQ1319349

Stephen J. Gardiner

Publication date: 16 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174523

zbMATH Keywords

Dirichlet problemharmonic functioncompact setharmonic approximationPerron-Wiener-Brelot method

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (6)

A characterization of the Khavinson-Shapiro conjecture via Fischer operators ⋮ Recent developments in harmonic approximation, with applications ⋮ The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces ⋮ Harmonic Functions in Slabs and Half-Spaces ⋮ Interpolation of data functions on parallel hyperplanes ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas

Cites Work

• Approximation by entire functions
• Kernels for solving problems of Dirichlet type in a half-plane
• Superharmonic extension and harmonic approximation
• Better than Uniform Approximation on Closed Sets by Harmonic Functions with Singularities
• Asymptotic Maximum Principles for Subharmonic and Plurisubharmonic Functions
• The Dirichlet and Neumann Problems for Harmonic Functions in Half-Spaces
• Tangential Harmonic Approximation on Relatively Closed Sets
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