The Fourth Double-Layer Potential for a Generalized Bi-Axially Symmetric Helmholtz Equation
Analysis of PDEs
2018-03-06 v1
Abstract
The double-layer potential plays an important role in solving boundary value problems for elliptic equations, and in the study of which for a certain equation, the properties of the fundamental solutions of the given equation are used. All the fundamental solutions of the generalized bi-axially symmetric Helmholts equation were known, and only for the first one was constructed the theory of potential. Here, in this paper, we aim at constructing theory of double-layer potentials corresponding to the fourth fundamental solution.
Keywords
Cite
@article{arxiv.1803.01681,
title = {The Fourth Double-Layer Potential for a Generalized Bi-Axially Symmetric Helmholtz Equation},
author = {Tuhtasin Ergashev},
journal= {arXiv preprint arXiv:1803.01681},
year = {2018}
}
Comments
12 pages, in Russian