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Front propagation for discrete periodic monostable equations |
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| Authors: | Jong-Shenq Guo François Hamel |
| Institution: | (1) Department of Mathematics, National Taiwan Normal University, 88, S-4, Ting Chou Road, Taipei, 117, Taiwan;(2) Université Paul Cézanne Aix-Marseille III, LATP (UMR CNRS 6632) F.S.T, Avenue Escadrille Normandie-Niemen, F-13397 Marseille Cedex 20, France |
| 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. |
| Keywords: | front propagation discrete periodic monostable equation minimal wave speed pulsating traveling front |
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