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Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media

Analysis of PDEs 2017-07-04 v1

Abstract

We study front propagation phenomena for a large class of nonlocal KPP-type reaction-diffusion equations in oscillatory environments, which model various forms of population growth with periodic dependence. The nonlocal diffusion is an anisotropic integro-differential operator of order α(0,2)\alpha \in (0,2).

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Cite

@article{arxiv.1707.00419,
  title  = {Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media},
  author = {Panagiotis E. Souganidis and Andrei Tarfulea},
  journal= {arXiv preprint arXiv:1707.00419},
  year   = {2017}
}

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27 pages