On relations between harmonic functions and solutions of the modified Helmholtz equation
Analysis of PDEs
2022-07-26 v1
Abstract
We consider the -dimensional modified Helmholtz equation and establish two relations between its solutions in a bounded domain and harmonic functions. Both relations essentially rely on properties of the Newtonian potential. Some other characteristics of these solutions are also obtained.
Cite
@article{arxiv.2207.11729,
title = {On relations between harmonic functions and solutions of the modified Helmholtz equation},
author = {Nikolay Kuznetsov},
journal= {arXiv preprint arXiv:2207.11729},
year = {2022}
}
Comments
8 pages, no figures