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arXiv:2105.12800 [math.AP]AbstractReferencesReviewsResources

Optimal Estimates on the Propagation of Reactions with Fractional Diffusion

Yuming Paul Zhang, Andrej Zlatos

Published 2021-05-26Version 1

We study the reaction-fractional-diffusion equation $u_t+(-\Delta)^{s} u=f(u)$ with ignition and monostable reactions $f$, and $s\in(0,1)$. We obtain the first optimal bounds on the propagation of front-like solutions in the cases where no traveling fronts exist. Our results cover most of these cases, and also apply to propagation from localized initial data.

Categories: math.AP
Subjects: 35K57, 35B40, 26A33
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