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1. On some discrete model of the magnetic Laplacian

Author

Sushch, Volodymyr

Subjects
Mathematical Physics, Mathematics - Analysis of PDEs, 35Q60, 39A12, 39A70
Abstract

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., Comment: 13 pages

Published
2004

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