On the solutions of generalized discrete Poisson equation

Details On the solutions of generalized discrete Poisson equation On the solutions of generalized discrete Poisson equation

2007-06-19

arxiv.org/abs/0706.2878v1

Linear Algebra and its Applications, 430 (2007), 8

Physics

Mathematical Physics

8 pages, LaTeX

Scientific paper

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.

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