Double- and simple-layer potentials for a three-dimensional elliptic equation with a singular coefficient and their applications

DOI10.3103/S1066369X21010060zbMath1466.35110OpenAlexW3131891521MaRDI QIDQ2027920

Yanyan Li

Publication date: 28 May 2021

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21010060

zbMATH Keywords

Dirichlet problemGreen's functionfundamental solutiondouble-layer potentialsimple-layer potential

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15)

Cites Work

• Construction of fundamental solutions to \(B\)-elliptic equations with minor terms
• Solution of boundary-value problems for a degenerating elliptic equation of the second kind by the method of potentials
• Fundamental solution of multidimensional axisymmetric Helmholtz equation
• 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
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