On the Green’s Function for the Third Boundary Value Problem

DOI10.3103/S1055134419010036zbMath1438.35117OpenAlexW2942194708MaRDI QIDQ5230796

Valery V. Karachik, Batirkhan Kh. Turmetov

Publication date: 28 August 2019

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134419010036

zbMATH Keywords

Green's functionPoisson equationthird boundary-value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Green's functions for elliptic equations (35J08)

Related Items (6)

Integral representations in the complex plane and iterated boundary value problems ⋮ NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION ⋮ The Green function of the Dirichlet problem for the triharmonic equation in the ball ⋮ Green function for analogue of Robin problem for polyharmonic equation ⋮ Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball ⋮ The Green function of the Dirichlet problem for the biharmonic equation in a ball

Cites Work

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• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball
• Representation of Green’s function of the Neumann problem for a multi-dimensional ball
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