On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients
| Autor: | Tuhtasin Ergashev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Class (set theory)
Confluent hypergeometric function Helmholtz equation Mathematical analysis Degenerate energy levels 010103 numerical & computational mathematics 01 natural sciences 010101 applied mathematics Computational Mathematics Singularity Mathematics - Analysis of PDEs Computational Theory and Mathematics Modeling and Simulation Singular coefficients FOS: Mathematics Order (group theory) Boundary value problem 0101 mathematics Mathematics Analysis of PDEs (math.AP) |
| Popis: | The main result of the present paper is the construction of fundamental solutions for a class of multidimensional elliptic equations with three singular coefficients, which could be expressed in terms of a confluent hypergeometric function of four variables. In addition, the order of the singularity is determined and the properties of the found fundamental solutions that are necessary for solving boundary value problems for degenerate elliptic equations of second order are found. 7 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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