On the solutions of generalized discrete Poisson equation
Mathematical Physics
2011-09-27 v1 math.MP
Abstract
The set of common numerical and analytical problems is introduced in the form of the generalized multidimensional discrete Poisson equation. It is shown that its solutions with square-summable discrete derivatives are unique up to a constant. The proof uses the Fourier transform as the main tool. The necessary condition for the existence of the solution is provided.
Cite
@article{arxiv.0706.2878,
title = {On the solutions of generalized discrete Poisson equation},
author = {Roman Werpachowski},
journal= {arXiv preprint arXiv:0706.2878},
year = {2011}
}