一类二元对称的Copula函数

本文给出了一类二元对称Copula函数的构造,同时推导了此类Copula函数的一致有序性,对称性以及相关测度等性质.     

LF拓扑空间的正则闭分离性

利用正则闭集概念在LF拓扑空间中引入了正则闭分离性Ti^rc（i=-1，O），次To^rc概念，给出了它们的刻画，证明了正则闭Ti^rc（i=-1，0）分离性、次To^rc分离性为拓扑性质，在LF拓扑空间的半正则化中Ti^rc分离性与Ti分离性是等价的。     

一类非稳态热耦合方程组解的存在性和正则性

In this paper,a coupled elliptic-parabolic system modeling a class of engineering problems with thermal effect is studied.Existence of a weak solution is first established through a result of Meyers' theorem and Schander fixed point theorem,where the coupled functionsσ(s),k(s) are assumed to be bounded in the C(IR×(0,T)).Ifσ(s),k(s) are Lipschitz continuous we prove that solution is unique under some restriction on integrability of solution.The regularity of the solution in dimension n≤2 is then analyzed...     

最新科技动态

手征性介观多孔硅的合成及特性手征性广泛地用来描述有机材料,特别是生物分子、蛋白质等.但无机材料中大尺度手征性则很少见.最近中外科学家合作报道了在表面活化板上合成手征性介观多孔硅的结果及电镜结构分析,他们制备的材料具有螺旋六角棒状形态,直径130nm～180nm,长1nm～6n     

解不适定问题的快速多层方法

Many industrial and engineering applications require numerically solving ill-posed problems. Regularization methods are employed to find approximate solutions of these problems. The choice of regularization parameters by numerical algorithms is one of the most important issues for the success of regularization methods. When we use some discrepancy principles to determine the regularization parameter,     

基于有限元法-正则化的弹性模量反求算法研究

生物组织的病变往往导致其物理特性的变化,研究生物组织的物理特性变化对诊断生物组织病变与否能够提供参考.本文提出了根据已知生物组织部分边界位移信息、外部载荷、边界条件和有限元模型,利用正则化方法反求弹性模量的方法.首先将求解弹性模量问题描述成一个力学反问题,建立逆系统辨识的数学模型,并应用正则化原理建立生物组织弹性模量反求算法.最后利用仿真算例验证了算法的有效性,并结合图像识别技术试验获取对象部分边界位移信息,反求其弹性模量,证明了本文反求方法的可行性.     

一类退缩抛物方程自由边界的正则性

本文利用Ｈａｒｎａｃｋ不等式，证明了描述多孔介质的非牛顿流的退缩抛物型方程自由边界的解的Ｈｏｌｄｅｒ连续性．     

TWO-WEIGHT IMBEDDING THEOREMS IN THE SPACE OF DIFFERENTIAL FORMS

We prove two-A_r~λ(Ω)-weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space L~P(D,∧~l) to the Sobolev space W~(1,p)(∧~(l-1)),l= 0,1,...,n,and to establish the weighted L~P-estimates for differential forms. Finally,we give some applications of the above results to quasiregular mappings.