Article ID Journal Published Year Pages File Type
4601992 Linear Algebra and its Applications 2009 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory