Potentials for three-dimensional singular elliptic equation and their application to the solving a mixed problem

DOI10.1134/S1995080220060086zbMath1450.35128OpenAlexW3043616615MaRDI QIDQ2206707

Yanyan Li

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220060086

zbMATH Keywords

mixed problemGaussian hypergeometric functiondouble-layer potentialsimple-layer potentialsingular partial differential equations

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Singular elliptic equations (35J75)

Related Items (5)

Exact solutions of the thin beam with degrading hysteresis behavior ⋮ The Neumann problem for a multidimensional elliptic equation with several singular coefficients in an infinite domain ⋮ On a Cauchy type problem for a second kind degenerating hyperbolic equation ⋮ Dirichlet problem for the Laplace equation in the hyperoctant of a multidimensional ball ⋮ Потенциалы для трехмерного эллиптического уравнения с одним сингулярным коэффициентом и их применение

Cites Work

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• THE FOURTH DOUBLE-LAYER POTENTIAL FOR A GENERALIZED BI-AXIALLY SYMMETRIC HELMHOLTZ EQUATION
• CONFLUENT HYPERGEOMETRIC FUNCTIONS OF MANY VARIABLES AND THEIR APPLICATION TO THE FINDING OF FUNDAMENTAL SOLUTIONS OF THE GENERALIZED HELMHOLTZ EQUATION WITH SINGULAR COEFFICIENTS
• Third double-layer potential for a generalized bi-axially symmetric Helmholtz equation
• Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II
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• Fundamental Solutions for a Class of Multidimensional Elliptic Equations with Several Singular Coefficients
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