The speed of propagation for KPP type problems . I-Periodic framework

@inproceedings{Berestycki2005TheSO,
  title={The speed of propagation for KPP type problems . I-Periodic framework},
  author={Henri Berestycki and François Hamel and Ostenhof N. Nadirashvili},
  year={2005}
}
This paper is devoted to some nonlinear propagation phenomena in periodic and more general domains, for reaction-diffusion equations with Kolmogorov–Petrovsky–Piskunov (KPP) type nonlinearities. The case of periodic domains with periodic underlying excitable media is a follow-up of the article [7]. It is proved that the minimal speed of pulsating fronts is given by a variational formula involving linear eigenvalue problems. Some consequences concerning the influence of the geometry of the… CONTINUE READING

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