Special Session 151: 

Discrete N-barrier maximum principle for a lattice dynamical system

Li-Chang Hung
National Taiwan University of Science and Technology
Taiwan
Co-Author(s):    Chiun-Chuan Chen; Ting-Yang Hsiao
Abstract:
In the this talk, we show that an analogous N-barrier maximum principle remains true for lattice systems. This extends our previous results from continuous equations to discrete equations. In order to overcome the difficulty induced by a discretized version of the classical diffusion in the lattice systems, we propose a more delicate construction of the N-barrier which is appropriate for the proof of the N-barrier maximum principle for lattice systems.