Construction of solutions to PDEs using holomorphic functions of several variables

The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional  Laplace, Helmholtz, and Poisson equations in the form of components  of holomorphic functions of several variables (complex and hypercomplex).   For more information see ht...

Full description

Saved in:
Bibliographic Details
Published in:Electronic journal of differential equations Vol. 2024; no. 1-??; pp. 71 - 12
Main Author: Shpakivskyi, Vitalii
Format: Journal Article
Language:English
Published: Texas State University 11.11.2024
Subjects:
elliptic pde
harmonic algebra
holomorphic functions of several hypercomplex variables
ISSN:1072-6691, 1072-6691
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional  Laplace, Helmholtz, and Poisson equations in the form of components  of holomorphic functions of several variables (complex and hypercomplex).   For more information see https://ejde.math.txstate.edu/Volumes/2024/71/abstr.html
ISSN:1072-6691
1072-6691
DOI:10.58997/ejde.2024.71