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The aim of this paper is to study the generalized Fisher-KPP equation withnonlocal diffusion. In specific we prove the existence of a critical speed sothat traveling front type solutions exist up to this critical speed andnon-existence of traveling fronts below this critical value. Moreover, weobtain uniqueness, up to translation, and decay estimates of these travelingfronts.

Traveling fronts for the generalized Fisher-KPP equation with nonlocal diffusion