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Nonlocal Fisher--KPP propagation with heavy tails

Hu, Yuanyang
arXiv (All) · Papers
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analysis-of-pdes
We study a nonlocal Fisher--KPP equation on the real line with compactly supported initial data. The reaction satisfies $f(s)\le f^{\prime}(0)s$ for $0\le s\le1$, with a power bound on $f^{\prime}(0)s-f(s)$ near zero. For continuous even probability kernels $J$ comparable to $|x|^{-γ}$, $γ>1$, we pr
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