Schrodinger equation and wave equation on finite graphs

Published 22 Jul 2012 in math.AP, cs.IT, math.DG, math.DS, and math.IT | (1207.5191v1)

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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