Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions

DOI10.1016/J.BULSCI.2018.01.004zbMath1392.31003OpenAlexW2791837806MaRDI QIDQ1744801

Xianqiang Yang

Publication date: 19 April 2018

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.01.004

zbMATH Keywords

Dirichlet problemPoisson integralharmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

On the cylindrical Green's function for representation theory and its applications ⋮ Cylindrical Carleman's formula of subharmonic functions and its application

Cites Work

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• M. Riesz' kernels as boundary values of conjugate Poisson kernels
• Harmonic majorization of a subharmonic function on a cone or on a cylinder
• Integral representations for harmonic functions of infinite order in a cone
• A type of uniqueness of solutions for the Dirichlet problem on a cylinder
• Growth property and integral representation of harmonic functions in a cone
• Growth property at infinity of the maximum modulus with respect to the Schrödinger operator
• Neumann problem on a half-space
• Nevanlinna Norm of a Subharmonic Function on a Cone or on a Cylinder
• Elliptic Partial Differential Equations of Second Order

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