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arXiv · 1207.5191

Schrodinger equation and wave equation on finite graphs

Li Ma·X. Y. Wang
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Abstract

In this paper, we study the schrodinger equation and wave equation with the Dirichlet boundary condition on a connected finite graph. The explicit expressions for solutions are given and the energy conservations are derived. Applications to the corresponding nonlinear problems are indicated.

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Li Ma, X. Y. Wang. 2012-07-22. Schrodinger equation and wave equation on finite graphs. https://arxiv.org/abs/1207.5191

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