weak global dimension

By the Test Function method, this paper deals with the nonexistence of global weak solution to PDEs with nonlocal sources.

本文运用试验函数法研究了带有非局部源的偏微分方程的全局弱解的不存在性，内容包括椭圆方程、发展方程全局解的不存在性以及双曲型方程的局部弱解的不存在性。

Because of the disadvantages of Guass integration and instability of direct nodal integration,the stabilized conforming nodal integration scheme is adopted based on strain smoothing theory,which improves the meshless global weak form of the 2D problem.

针对域内高斯积分的缺陷以及直接节点积分的不稳定性,采用了基于应变光滑理论的稳定相容节点积分方案,从而改进了二维问题的无网格全局弱形式。

In this paper, we investigate von Neumann regular rings and weak dimension of rings.

利用模的自同态研究 von Neumann正则环与环的弱维数 ,给出了 von Neumann正则环的新的刻划 ,同时也刻划了弱维数 n (n 0 )的环 。

In this paper, we investigate the weak dimension of polynolial rings.

本文研究多项式环的弱维数，证明了主要定理：苦Ｒ是左（或右）凝聚环，则ｗＤ（Ｒ［ｔ］）＝ｗＤ（Ｒ）＋１及推论：若Ｒ是交换环，Ｒ［ｔ］是凝聚环，且Ｄ（Ｒ）≠ｗＤ（Ｒ），则ｆ·ｐ·ｄｉｍ［Ｒ（ｔ）］＝ｆ·ｐ·ｄｉｍ（Ｒ）＋

In this paper we mainly discuss the relations of weak Gorenstein dimention and Gorenstein dimention over co- herent ring and give an equivalent charaction of coherent rings with weak Gorenstein dimention.

本文讨论了凝聚环上的弱Gorenstein维数与Gorenstein维数的关系,给出了弱Gorenstein维数的等价刻画。