Fundamental solutions of two multidimensional elliptic equations
Date
2018-04-28
Authors
Garipov, Ilnur
Mavlyaviev, Rinat
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We construct fundamental solutions for two-multidimensional elliptic equations. The solutions are written in explicit form via hypergeometric Gauss functions for λ = 0 and via confluent Horn functions for λ ≠ 0. It is proved that the fundamental solutions found possess power-type singularity ρ2-n as ρ → 0.
Description
Keywords
Fundamental solution, Hypergeometric Gauss function, Confluent Horn function, Transmutation operator
Citation
Garipov, I., & Mavlyaviev, R. (2018). Fundamental solutions of two multidimensional elliptic equations. <i>Electronic Journal of Differential Equations, 2018</i>(100), pp. 1-12.
Rights
Attribution 4.0 International