主要研究一类带有指数边界流的非局部扩散方程的爆破问题{ut(x,t) =∫ΩJ(x-y)(u(y,t)-u(x,t))dy + ∫RN/ΩJ(x-y)eαu(y,t) dyu(x,0) =uo(x)证明了当α＞0时,非负、非平凡解在有限时间内爆破,并且得到爆破速率估计为-1/αlnα(T-t) ≤ Pu(·,t) ≤ PL∞ (Ω) ≤-1/αlnC(T-t).“,”A non-local diffusion equation with an exponential boundary flux is concerned,that is{ut(x,t) =∫ΩJ(x-y)(u(y,t)-u(x,t))dy + ∫RN/ΩJ(x-y)eαu(y,t) dyu(x,0) =uo(x)Non-negative and non-trivial solutions will be proved blowing up in finite time ifα ＞ 0,and the blow-up rate is obtained-1/αlnα(T-t) ≤ Pu(·,t) ≤ PL∞ (Ω) ≤-1/αlnC(T-t).