Schrodinger equation and wave equation on finite graphs

2012/07/22 by Li Ma, X. Y. Wang, Ma, Li +1
Computer Science · Mathematics · #Graph theory and applications #Limits and Structures in Graph Theory #advanced mathematical theories #cs.IT #math.AP #math.DG #math.DS #math.IT

paper · pdf · doi:10.48550/arxiv.1207.5191

7 pages

arxiv created 2012/07/22 · arxiv updated 2012/07/24

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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