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Precise propagation rates of the fractional Fisher-KPP equation with free boundaries

Chen, Huyuan et al.
arXiv (All) · Papers
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35b4035r11analysis-of-pdes
In this paper, we determine the propagation rates of the Fisher-KPP equation with free boundaries and fractional diffusion $(-Δ)^s$ $(0<s<1)$, which was considered in \cite{CDN26} as a model for species spreading, where the density function $u(t,x)$ satisfies the fractional Fisher-KPP equation $u_t+
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