The Dirichlet problem for a 3D elliptic equation with two singular coefficients

DOI10.1016/j.camwa.2011.04.068zbMath1228.35098OpenAlexW2012046982WikidataQ60199371 ScholiaQ60199371MaRDI QIDQ651468

Juan-Miguel Gracia

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.04.068

zbMATH Keywords

Dirichlet problemGreen's function3D elliptic equation with singular coefficientsGauss and Appell's hypergeometric functions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Series solutions to PDEs (35C10) Green's functions for elliptic equations (35J08)

Related Items

HOLMGREN PROBLEM FOR MULTUDIMENSIONAL ELLIPTIC EQUATION WITH TWO SINGULAR COEFFICIENTS. ⋮ Dirichlet problem for an elliptic equation with three singular coefficients ⋮ Generalized Holmgren problem for an elliptic equation with several singular coefficients ⋮ The Dirichlet problem for an elliptic equation with three singular coefficients and negative parameters ⋮ On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients ⋮ Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables ⋮ The Dirichlet problem for an elliptic equation with several singular coefficients in an infinite domain ⋮ A problem with conditions given on inner characteristics and on the line of degeneracy for a mixed-type equation with singular coefficients ⋮ The unique solvability of boundary value problems for a 3D elliptic equation with three singular coefficients ⋮ Fundamental Solutions for a Class of Multidimensional Elliptic Equations with Several Singular Coefficients ⋮ Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation

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