• Corpus ID: 245704536

Quantifying the threshold phenomena for propagation in nonlocal diffusion equations

@inproceedings{Alfaro2022QuantifyingTT,
  title={Quantifying the threshold phenomena for propagation in nonlocal diffusion equations},
  author={Matthieu Alfaro and Arnaud Ducrot and Hao Kang},
  year={2022}
}
We are interested in the threshold phenomena for propagation in nonlocal diffusion equations with some compactly supported initial data. In the so-called bistable and ignition cases, we provide the first quantitative estimates for such phenomena. The outcomes dramatically depend on the tails of the dispersal kernel and can take a large variety of different forms. The strategy is to combine sharp estimates of the tails of the sum of i.i.d. random variables (coming, in particular, from large… 

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