Potentials for the singular elliptic equations and their application

DOI10.1016/j.rinam.2020.100126zbMath1469.35107OpenAlexW3086611372MaRDI QIDQ831410

N. E. Zubov

Publication date: 11 May 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2020.100126

zbMATH Keywords

fundamental solutionsGauss hypergeometric functionsmultidimensional elliptic equations with singular coefficient

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Degenerate elliptic equations (35J70) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Construction of fundamental solutions to \(B\)-elliptic equations with minor terms
• On the singularities of generalized axially symmetric potentials
• Solution of boundary-value problems for a degenerating elliptic equation of the second kind by the method of potentials
• Solutions of type \(r^ m \)for a class of singular equations
• On the analytic properties of solutions for a generalized, axially symmetric Schrödinger equation
• On the uniqueness of generalized axially symmetric potentials
• Fundamental solution of multidimensional axisymmetric Helmholtz equation
• Some Expansion Formulas for a Class of Singular Partial Differential Equations
• THE FOURTH DOUBLE-LAYER POTENTIAL FOR A GENERALIZED BI-AXIALLY SYMMETRIC HELMHOLTZ EQUATION
• Third double-layer potential for a generalized bi-axially symmetric Helmholtz equation
• Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II
• Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
• On Solutions of the Generalized Axially Symmetric Wave Equation Represented by Bergman Operators
• Boundary value problems of singular elliptic partial differential equations
• Discontinuous Integrals and Generalized Potential Theory
• Generalized axially symmetric potential theory
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