The Green function of the Dirichlet problem for the biharmonic equation in a ball

DOI10.1134/S0965542519010111zbMath1432.31005OpenAlexW2945728268WikidataQ127870265 ScholiaQ127870265MaRDI QIDQ2314194

Valery V. Karachik

Publication date: 19 July 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519010111

zbMATH Keywords

Dirichlet problembiharmonic equationGreen function

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Green's functions for elliptic equations (35J08)

Related Items (5)

Green's functions of some boundary value problems for the biharmonic equation ⋮ 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 ⋮ Presentation of solution of the Dirichlet problem for biharmonic equation in the unit ball through the Green function ⋮ Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation
• Green function representation in the Dirichlet problem for polyharmonic equations in a ball
• Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball
• Representation of the Green's function of the exterior Neumann problem for the Laplace operator
• On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle
• On an expansion of Almansi type
• 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
• On one representation of analytic functions by harmonic functions
• Representation of Green’s function of the Neumann problem for a multi-dimensional ball
• On one set of orthogonal harmonic polynomials
• Biharmonic Green function and biharmonic Neumann function in a sector
• Modified harmonic Robin function
• On the Green’s Function for the Third Boundary Value Problem
• A Neumann-type problem for the biharmonic equation
• Tri-harmonic boundary value problems in a sector

This page was built for publication: The Green function of the Dirichlet problem for the biharmonic equation in a ball