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Asymptotic Behavior of the Subordinated Traveling Waves

Probability 2021-04-02 v2

Abstract

In this paper we investigate the long-time behavior of the subordination of the constant speed traveling waves by a general class of kernels. We use the Feller--Karamata Tauberian theorem in order to study the long-time behavior of the upper and lower wave. As a result we obtain the long-time behavior for the propagation of the front of the wave.

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Cite

@article{arxiv.2002.11395,
  title  = {Asymptotic Behavior of the Subordinated Traveling Waves},
  author = {Yuri Kondratiev and José Luís da Silva},
  journal= {arXiv preprint arXiv:2002.11395},
  year   = {2021}
}

Comments

24 pages, 1 figure