In this paper,we investigate the life span correction to the Schwarzschild anti-de sitter black holes. Considering the generalized uncertainty principle,we first give a modification to the Stefan-Boltzmann law in curved space-time,and then,with this new formula,we calculate the corrected life span of the Schwarzshild anti-de Sitter black holes.We clarify the highest temperature in the process of the black hole radiation as well as the Residual mass of the black holes.%文章研究 Schwarzschild anti-de sitter 黑洞寿命修正。在考虑广义不确定性关系的情况下，对弯曲时空背景下的斯特藩－玻尔兹曼定律进行修正，并用这一修正的斯特藩－玻尔兹曼定律重新计算了黑洞寿命。除此以外，还得出了 Schwarzschild anti-de sitter 黑洞辐射晚期的辐射最高温、黑洞辐射残余质量等有意义的结果。
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