On some discrete model of the magnetic Laplacian
数学物理
2007-05-23 v1 偏微分方程分析
math.MP
摘要
We construct some intrinsically defined discrete model of the magnetic Laplacian. The existence and uniqueness of solutions of the Dirichlet problem for the difference Poisson type equation are proved. We study in detail properties of the discrete model including the limiting process in the two-dimensional Euclidean case.
引用
@article{arxiv.math-ph/0410043,
title = {On some discrete model of the magnetic Laplacian},
author = {Volodymyr Sushch},
journal= {arXiv preprint arXiv:math-ph/0410043},
year = {2007}
}
备注
13 pages