A type of uniqueness of solutions for the Dirichlet problem on a cylinder

DOI10.2748/tmj/1178225381zbMath0869.31007OpenAlexW2086902405MaRDI QIDQ1922259

Ikuko Miyamoto

Publication date: 27 August 1997

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225381

zbMATH Keywords

Dirichlet problemuniquenessharmonic functionsboundary valuecylinder domaingeneralized Poisson integrals

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (10)

A new type of minimal thinness with respect to the stationary Schrödinger operator and its applications ⋮ Solutions of the Dirichlet-Sch problem and asymptotic properties of solutions for the Schrödinger equation ⋮ Derivation of specific solutions and asymptotic analysis for the cylindrical Dirichlet problem ⋮ Explicit solutions of the Dirichlet-Schrödinger problem via the new cylindrical Poisson-Schrödinger kernel method ⋮ Boundary value behaviors for solutions of the equilibrium equations with angular velocity ⋮ Cylindrical Poisson kernel method and its applications ⋮ Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions ⋮ Dirichlet's problem with entire data posed on an ellipsoidal cylinder ⋮ Explicit solutions of cylindrical Schrödinger equation with radial potentials ⋮ RETRACTED: A remark on the Dirichlet problem in a half-plane

Cites Work

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• Kernels for solving problems of Dirichlet type in a half-plane
• Estimates of harmonic measure
• A type of uniqueness for the Dirichlet problem on a half-space with continuous data
• Functions Harmonic in a Strip
• Nevanlinna Norm of a Subharmonic Function on a Cone or on a Cylinder
• The Dirichlet and Neumann Problems for Harmonic Functions in Half-Spaces
• Elliptic Partial Differential Equations of Second Order
• Representations of Harmonic Functions in Half-Spaces

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