Modified harmonic Robin function

DOI10.1080/17476933.2011.625092zbMath1272.31003OpenAlexW2086405412MaRDI QIDQ4929152

Heinrich Begehr, Tatyana Vaitekhovich

Publication date: 13 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.625092

zbMATH Keywords

Green functionunit disccircular ringNeumann functionRobin function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Green's functions for elliptic equations (35J08)

Related Items (23)

COMPLEX BOUNDARY VALUE PROBLEMS FOR THE CAUCHY–RIEMANN OPERATOR ON A TRIANGLE ⋮ Representation of the Green's function of the exterior Neumann problem for the Laplace operator ⋮ On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation ⋮ Integral Representations Related to Complex Partial Differential Operators ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Representation of Green’s function of the Neumann problem for a multi-dimensional ball ⋮ Polyharmonic Robin problem for complex linear partial differential equations ⋮ Green function for a hyperbolic strip and a class of related plane domains ⋮ Green's functions of some boundary value problems for the biharmonic equation ⋮ Eigenvalues of holomorphic functions for the third boundary condition ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ The Green function of the Dirichlet problem for the triharmonic equation in the ball ⋮ Neumann boundary value problem for the Beltrami equation in a ring domain ⋮ Fundamental Solutions to the Laplacian in Plane Domains Bounded by Ellipses ⋮ Dirichlet problems in lens and lune ⋮ Neumann boundary value problems in fan-shaped domains ⋮ Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball ⋮ Green's function of Dirichlet problem for biharmonic equation in the ball ⋮ On the Green’s Function for the Third Boundary Value Problem ⋮ The Green function of the Dirichlet problem for the biharmonic equation in a ball ⋮ ON REPRESENTATION OF GREEN’S FUNCTION OF THE DIRICHLET PROBLEM FOR BIHARMONIC EQUATION IN A BALL ⋮ On Green's function of the Robin problem for the Poisson equation ⋮ Iterated Robin problem for the higher-order Poisson equation

Cites Work

• Unnamed Item
• Harmonic boundary value problems in half disc and half ring
• The third boundary condition -- was it Robin's?
• On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains
• Some harmonic Robin functions in the complex plane
• Quadratic forms involving Green's and Robin functions

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