本文研究n维欧氏空间上的扩散过程在L2意义下的代数式收敛的情况,给出了判定代数式收敛的方法,并对两种特殊情形扩散算子进行了讨论.将所得判敛法应用于两个例子可得到精确的结果.

Algebraic convergence in L2-sense is studied for diffusion processes on Rn. Some criteria for the convergence are presented. Furthermore, some special cases are studied in order to be compared with ordinary cases. The results are effective since the convergence region can be completely covered, as illustrated by two examples.