Schrodinger equation and wave equation on finite graphs

math.AP

/ Authors

/ 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.

Schrodinger equation and wave equation on finite graphs

math.AP

/ Authors

Li Ma, X. Y. Wang

/ 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.