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Front propagation for discrete periodic monostable equations

Research paper by Jong-Shenq Guo, François Hamel

Indexed on: 03 May '06Published on: 03 May '06Published in: Mathematische Annalen



Abstract

This paper deals with front propagation for discrete periodic monostable equations. We show that there is a minimal wave speed such that a pulsating traveling front solution exists if and only if the wave speed is above this minimal speed. Moreover, in comparing with the continuous case, we prove the convergence of discretized minimal wave speeds to the continuous minimal wave speed.