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Front propagation for discrete periodic monostable equations

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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.

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Authors and Affiliations

  1. Department of Mathematics, National Taiwan Normal University, 88, S-4, Ting Chou Road, Taipei, 117, Taiwan

    Jong-Shenq Guo

  2. Université Paul Cézanne Aix-Marseille III, LATP (UMR CNRS 6632) F.S.T, Avenue Escadrille Normandie-Niemen, F-13397, Marseille Cedex 20, France

    François Hamel

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  1. Jong-Shenq Guo
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  2. François Hamel
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Guo, JS., Hamel, F. Front propagation for discrete periodic monostable equations. Math. Ann. 335, 489–525 (2006). https://doi.org/10.1007/s00208-005-0729-0

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  • DOI: https://doi.org/10.1007/s00208-005-0729-0

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