Abstract
We investigate extinction properties of solutions for the homogeneous Dirichlet bound- ary value problem of the nonlocal reaction-diffusion equationut−du+ku p = R u q (x,t)dx with p,q ∈ (0,1) and k,d > 0. We show that q = p is the critical extinction exponent. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.
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