Green's function for Poisson's equation and the EEG equation with Neumann boundary condition on $n$-balls
Analysis of PDEs
2019-02-13 v1
Abstract
We provide an elementary derivation of the Green's function for Poisson's equation with Neumann boundary data on balls of arbitrary dimension, which was recently found in [Sadybekov et al., Eurasian Math. J. 7(2):100-105, 2016]. The underlying idea consists of first computing the Green's function for the electroencephalography (EEG) equation (Poisson's equation with dipole right-hand side) and then deriving the Green's function for Poisson's equation from that.
Keywords
Cite
@article{arxiv.1902.04130,
title = {Green's function for Poisson's equation and the EEG equation with Neumann boundary condition on $n$-balls},
author = {Benedikt Wirth},
journal= {arXiv preprint arXiv:1902.04130},
year = {2019}
}