noncompact manifold meaning in Chinese

非紧流形

For the diffusion on noncompact manifolds , algebraic convergence in l ^ 2 - sense is studied . some criteria for the convergence are presented
摘要考虑非紧流形上的扩散过程，得到了其l ^ 2代数式收敛的充要条件和必要条件。
The article stated here will give some remarks to the following equation in two cases : for the case > 0 , the equation expresses the eigenvalue of the laplacian while for the case = 0 , it is the existence of nontriv - ial bounded harmonic functions on complete noncompact manifolds
本文中我们主要分两种情况来讨论了关于laplace算子的方程： u + u = 0 ， r ~ + { 0 }对应于0 ，是riemann流形上laplace算子的特征值问题，而对应于= 0则是完备非紧流形上非平凡的有界调和函数的存在性问题。