Yuming Paul Zhang, UCSD

Abstract. 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. This is a joint work with A. Zlatos.

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Zoom Meeting: https://usc.zoom.us/j/96145515329?pwd=d2haQkIwZFNVRlRJK3BjbEhMQVh1Zz09

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