In this paper we consider a cla. se nonlinear heat equation. with nonlocal teen and study that on blow-up particular of positive solution near blow-up point.

本文研究一类有非局部性项的非线性热方程初边值问题正解在它的破碎点近旁趋向无穷的特征。

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Second, the sufficient conditions of blow up of the solution are given.

其次，给出了解爆破的充分条件；

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In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.

本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。

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