DIRICHLET PROBLEM FOR THE MULTUDIMENSIONAL HELMHOLTZ EQUATION WITH ONE SINGULAR COEFFICIENT

DOI10.17223/19988621/62/5zbMath1497.35247OpenAlexW3012439684MaRDI QIDQ5046346

No author found.

Publication date: 28 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu743

zbMATH Keywords

Dirichlet problemfundamental solutionGreen functionGauss-Ostrogradsky formulamultidimensional Helmholtz equation with one singular coefficient

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular elliptic equations (35J75) Green's functions for elliptic equations (35J08)

Related Items

POINCARE–TRICOMI PROBLEM FOR THE EQUATION OF A MIXED ELLIPTICO-HYPERBOLIC TYPE OF SECOND KIND

Cites Work

• On fundamental solutions for 3D singular elliptic equations with a parameter
• Solution of the spatial Tricomi problem for a singular mixed-type equation by the method of integral equations
• Nonlocal boundary value problems in a vertical half-strip for a generalized axisymmetric Helmholtz equation
• On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients
• The Dirichlet problem for the generalized bi-axially symmetric Helmholtz equation
• Fundamental solution of multidimensional axisymmetric Helmholtz equation
• Fundamental solutions of the bi-axially symmetric Helmholtz equation
• GENERALIZED SOLUTIONS OF THE DEGENERATE HYPERBOLIC EQUATION OF THE SECOND KIND WITH A SPECTRAL PARAMETER
• 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
• Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
• A solution of the Neumann–Dirichlet boundary value problem for generalized bi-axially symmetric Helmholtz equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item