Harmonic Functions in Slabs and Half-Spaces

DOI10.1007/978-3-030-61887-2_12zbMath1483.31016OpenAlexW3140326482MaRDI QIDQ3384136

W. R. Madych

Publication date: 14 December 2021

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-61887-2_12

zbMATH Keywords

Dirichlet problemLaplace equationPoisson kernel

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (1)

Fischer decompositions for entire functions and the Dirichlet problem for parabolas

Cites Work

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• Dirichlet problems for harmonic functions in half spaces
• A characterization of the Khavinson-Shapiro conjecture via Fischer operators
• The Khavinson-Shapiro conjecture and polynomial decompositions
• Theory of Bessel potentials. I
• Integral representations of a class of harmonic functions in the half space
• Kernels for solving problems of Dirichlet type in a half-plane
• The Dirichlet problem with non-compact boundary
• On the Poisson representation of a function harmonic in the upper half-plane
• On some boundary value problems on a strip in the complex plane
• Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions
• Harmonic Function Theory
• The Dirichlet Problem for the Slab with Entire Data and a Difference Equation for Harmonic Functions
• Functions Harmonic in a Strip
• The Dirichlet and Neumann Problems for Harmonic Functions in Half-Spaces
• Dirichlet's Problem When the Data is an Entire Function
• Representations of Harmonic Functions in Half-Spaces
• Polynomial solutions to Dirichlet problems
• Linear Holomorphic Partial Differential Equations and Classical Potential Theory
• The Green and Poisson Kernels for the Strip R ⁿ × 0, 1[]

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