双参数Esscher变换及其应用

通过把Lévy过程分解为两个独立过程之和,将Esscher变换由单参数推广到双参数,并给出了双参数Esscher变换测度为等价鞅测度的充要条件．     

12参双参数矩形板元的误差估计

双参数方法是构造高阶问题有限元的有效方法．以此方法构造的双参数元是一种非标准元，以往文献中只证明了它的收敛性．此文针对具体12参双参数矩形板元给出它的误差估计式，并分析了节点参数的扰动量．文中的分析方法也适合于其它双参数矩形板元的误差估计．     

双参数 C-半群

引入单参数C-半群和双参数C0-半群,给出了更一般的双参数C-半群和无穷小生成元的定义,应用双参数半群与单参数半群的关系和双参数半群的性质,给出了双参数C-半群的阶全微分,偏微分,指数有界性,和双参数C-半群是由C、A1和A2唯一确定的闭稠定线性算子的一个充分条件.     

基于双参数Copula沪港股市的相关性分析

通过双参数Copula分析上证指数和恒生指数的尾部相关性,并与单参数Copula及混合Copula进行比较分析,参数估计使用半参数估计法,结果表明:与单参数Clayton Copula、Gumbel-Hougaard Copula以及由两者组成的混合Copula相比,双参数BB1 Copula对数据具有更好的拟合效果;且通过分析发现两股市的上尾相关性大于下尾相关性.     

扰动双参数C_0半群的直接范数连续性

双参数半群理论是研究Markov过程的一种重要方法.本文首先证明了双参数C_0半群在有界扰动下生成一个双参数C_0半群;其次证明了如果双参数C_0半群是直接范数连续的,那么在有界扰动下生成的双参数C_0半群也是直接范数连续的.     

双参数指数截尾分布参数估计相合性的证明

给出了双参数指数分布截尾寿命试验样本的联合分布,得到了参数的极大似然估计,并证明了该估计的相合性.     

混合勒贝格空间上双参数奇异积分算子的端点弱估计（英文）

本文研究了混合勒贝格空间上双参数奇异积分算子的有界性.利用双参数奇异积分算子在勒贝格空间的有界性和一个向量值延拓理论.获得了双参数奇异积分算子在混合勒贝格空间上的端点弱估计和强型估计.并给出了乘积空间上非卷积型奇异积分算子的一个应用.这些结果将文献[3]中的结论推广到混合范数情形.     

扰动双参数C_0半群的范数连续性和直接紧性

双参数半群已经被成功地应用于研究具有多维参数的Markov过程.在双参数C_0半群被有界扰动之后仍然是一个双参数C_0半群的基础上,首先讨论扰动半群和原半群的大小关系;其次,利用获得的扰动结果,证明扰动双参数半群分别继承原半群的范数连续性和直接紧性.获得的结果是单参数C_0半群相应结论的推广.     

关于双参数量子群的注记(I)

借助于Euler型, 给出了一类(对应于半单Lie代数的)双参数量子群的更为简便的定义方式, 证明了所定义量子群的正部分在双参数满足适当条件下是互为2-上圈形变的, 并给出了该正部分 在Kashiwara意义下的斜微分算子实现.     

关于双参数半群的诱导半群

双参数算子半群概念是由于研究非时齐马氏过程产生的。由于它的复杂性,目前国内外对它的研究很少,文献不多,胡迪鹤教授在[1]中研究了双参数半群的连续性,可微性和拉氏变换,以及由转移函数产生的双参数半群的性质。本文在[1]的基础上,引进了双参数半群的诱导半群的概念,证明了双参数半群由其诱导半群的无穷小算子唯一确定,类似于Hille—Yosida 定理,对于给定的一族算子 R(?),给出了存在某双参数半群其诱导半群的预解算子族为 R(?)的充要条件。     

Uniform analyticity and exponential decay of the semigroup associated with a thermoelastic plate equation with perturbed boundary conditions

In a bounded domain, we consider an Euler–Bernoulli-type thermoelastic plate equation with perturbed boundary conditions. The boundary conditions are such that when the perturbation parameter goes to infinity, we recover the hinged boundary conditions, while one recovers the clamped boundary conditions when the perturbation parameter goes to zero. Relying on resolvent estimates, we show that the underlying semigroup is uniformly, with respect to the perturbation parameter, analytic and exponentially stable. The main features of our proof are appropriate decompositions of the components of the system and the use of Lions? interpolation inequalities.     

Linear elliptic boundary value problems in varying domains

The paper is devoted to the study of solutions to linear elliptic boundary value problems in domains depending smoothly on a small perturbation parameter. To this end we transform the boundary value problem onto a fixed reference domain and obtain a problem in a fixed domain but with differential operators depending on the perturbation parameter. Using the Fredholm property of the underlying operator we show the differentiability of the transformed solution under the assumption that the dimension of the kernel does not depend on the perturbation parameter. Furthermore, we obtain an explicit representation for the corresponding derivative.     

含多个小参数的高阶拟线性椭圆型方程一般边值问题的奇摄动

本文应用М.Н.Вишик和Л.А.Люстерник[1]的渐近方法以及泛函分析的不动点原理研究了方程与边界摄动相结合的高阶拟线性椭圆型方程一般边值问题的奇摄动,证明了摄动问题解的存在且唯一,给出解的渐近展开式和有关的余项估计.     

伴有边界摄动的三阶拟线性向量微分方程边值问题的奇摄动

本文研究伴有边界摄动的三阶拟线性向量微分方程边值问题的奇摄动,在适当的假设下,利用对角化技巧和不动点原理证明了摄动问题解的存在唯一性并给出解的任意阶的一致有效的渐近展开式和余项的估计。     

边界和算子双摄动的高阶椭圆型方程一般边值问题解的渐近式

本文在文[1]和[2]的基础上研究边界和算子双摄动的高阶椭圆型方程一般边值问题的奇摄动,建立含两参数的渐近解表达式,导出求渐近解的迭代过程,给出余项估计,改进和拓广了前文的工作.     

STABILITY OF A KIND OF COMPOUND BOUNDARY VALUE PROBLEM WITH RESPECT TO THE PERTURBATION OF BOUNDARY CURVE

In this paper, we discuss the stability of general compound boundary value prob-lems combining Riemann boundary value problem for an open arc and Hilbert bound-ary value problem for a unit circle with respect to the perturbation of boundary curve.     

SINGULAR PERTURBATION OF ROBIN BOUNDARY VALUE PROBLEM FOR THIRD ORDER NONLINEAR SYSTEM WITH BOUNDARY PERTURBATION

ＳＩＮＧＵＬＡＲＰＥＲＴＵＲＢＡＴＩＯＮＯＦＲＯＢＩＮＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＦＯＲＴＨＩＲＤＯＲＤＥＲＮＯＮＬＩＮＥＡＲＳＹＳＴＥＭＷＩＴＨＢＯＵＮＤＡＲＹＰＥＲＴＵＲＢＡＴＩＯＮ（黄晓秋）福建师范大学福清分校，邮编：３５０３００Ｈ...     

STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY

In this article, by using the stability of Cauchy type integral when the smooth perturbation for integral curve and the Sobolev type perturbation for kernel density happen, we discuss the stability of the second fundamental problem in plane elasticity when the smooth perturbation for the boundary of the elastic domain （unit disk） and the Sobolev type perturbation for the displacement happen. And the error estimate of the displacement between the second fundamental problem and its perturbed problem is obtained.     

Stability of Displacement to the Second Fundamental Problem in Plane Elasticity

In this article, by using the stability of Cauchy type integral when the smooth perturbation for integral curve and the Sobolev type perturbation for kernel density happen, we discuss the stability of the second fundamental problem in plane elasticity when the smooth perturbation for the boundary of the elastic domain (unit disk) and the Sobolev type perturbation for the displacement happen. And the error estimate of the displacement between the second fundamental problem and its perturbed problem is obtained.     

Boundary layers for stress diffusive perturbation in viscoelastic fluids

In this paper, we study a stress diffusive perturbation of the system describing a viscoelastic flow. We analyse the boundary layer which arises near the boundary and we observe in particular that there is no boundary layer on the velocity at the first order.