Schrodinger equation and wave equation on finite graphs
Analysis of PDEs
2012-07-24 v1 Information Theory
Differential Geometry
Dynamical Systems
math.IT
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.
Cite
@article{arxiv.1207.5191,
title = {Schrodinger equation and wave equation on finite graphs},
author = {Li Ma and X. Y. Wang},
journal= {arXiv preprint arXiv:1207.5191},
year = {2012}
}
Comments
7 pages