Abstract
This Note deals with the existence of pulsating traveling fronts for some reaction–diffusion equation in space–time periodic media. Under some hypotheses, there exist two speeds c ∗ and c ∗ ∗ such that there exist some pulsating traveling fronts of speed c for all c ⩾ c ∗ ∗ and that there exists no such front of speed c < c ∗ . In the case of a KPP-type reaction term, we characterize this speed with the help of a family of eigenvalues associated with the equation. Lastly, we study the dependence between this minimal speed and the coefficients of the equation. To cite this article: G. Nadin, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
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