Double-Layer Potentials for a Generalized Bi-Axially Symmetric Helmholtz Equation II

Autor:	Berdyshev, Abdumauvlen, Hasanov, Anvar, Ergashev, Tuhtasin
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	The double-layer potential plays an important role in solving boundary value problems for elliptic equations. All the fundamental solutions of the generalized bi-axially symmetric Helmholtz 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 next fundamental solution. By using some properties of one of Appell's hypergeometric functions in two variables, we prove limiting theorems and derive integral equations concerning a denseness of double-layer potentials. Comment: 10 pages. arXiv admin note: substantial text overlap with arXiv:0810.3979
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.03639 Zobrazit plný text záznamu View this record from Arxiv