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Existence of traveling waves for a nonlocal monostable equation: an abstract approach

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 نشر من قبل Hiroki Yagisita
 تاريخ النشر 2016
  مجال البحث
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 تأليف Hiroki Yagisita




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We consider a nonlocal analogue of the Fisher-KPP equation. We do not assume that the Borel-measure for the convolution is absolutely continuous. In order to show the main result, we modify a recursive method for abstract monotone discrete dynamical systems by Weinberger. We note that the monotone semiflow generated by the equation does not have compactness with respect to the compact-open topology. At the end, we propose a discrete model that describes the measurement process.



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