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国家自然科学基金(10471003): 作品数：10被引量：17H指数：1; 导出分析报告; 相关作者：周海云魏利任艳霞李秋月刘荣丽更多>>; 相关机构：河北经贸大学中国人民解放军军械工程学院北京大学华北电力大学更多>>; 相关期刊：《应用泛函分析学报》《Science China Mathematics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>; 相关主题：BANACH空间EXTINCTIONCONTINUITY一致凸BANACH空间一致光滑BANACH空间更多>>; 相关领域：理学自然科学总论更多>>

Some properties of superprocesses conditioned on non-extinction: 《Science China Mathematics》2009年第4期771-784,共14页LIU RongLi REN YanXia; supported by National Natural Science Foundation of China (Grant No. 10471003, 10871103); We simply call a superprocess conditioned on non-extinction a conditioned superprocess. In this study, we investigate some properties of the conditioned superprocesses (subcritical or critical). Firstly, we give an eq...; 关键词：conditioned superprocess H-TRANSFORM occupation time local extinct 60J80 60B10

非灭绝条件下超过程的一些性质: 《中国科学（A辑）》2008年第10期1081-1094,共14页刘荣丽任艳霞; 国家自然科学基金(批准号:10471003)资助项目; 在不灭绝的条件概率下的超过程简称为条件超过程.考虑条件超过程(下临界或临界的情形)的一些性质.首先,对条件超过程总占位时测度在紧集上有限这一随机事件的概率给出了一个等价刻画,并且给了这个等价刻画的一个应用.我们的结果是已有...; 关键词：条件超过程 h-变换占位时局部灭绝性

Properties of Super-Poisson Processes and Super-Random Walks with Spatially Dependent Branching Rates: 《Acta Mathematica Sinica,English Series》2008年第2期275-284,共10页Yan Xia REN; NNSF of China (Grant No.10471003);Foundation for Authors Awarded Excellent Ph.D.Dissertation; The global supports of super-Poisson processes and super-random walks with a branching mechanism ψ（z）=z^2 and constant branching rate are known to be noncompact. It turns out that, for any spatially dependent branc...; 关键词：super-Poisson process super-random walk global support asymptotic extinction

On the Collision Local Time of Fractional Brownian Motions被引量：11: 《Chinese Annals of Mathematics,Series B》2007年第3期311-320,共10页Yiming JIANG Yongjin WANG; the National Natural Science Foundation of China(No. 10471003).; In this paper, the existence and smoothness of the collision local time are proved for two independent fractional Brownian motions, through L^2 convergence and Chaos expansion. Furthermore, the regularity of the colli...; 关键词：Collision local time Fractional Brownian motion Chaos expansion Hoder continuity

Banach空间中Lipschitz伪压缩映射的近似不动点序列及其收敛定理(英文)被引量：1: 《应用泛函分析学报》2007年第1期29-39,共11页魏利周海云; This work is supported by the National Natural Science Foundation of China Grant(10471003); 研究了Lipschitz伪压缩映射的黏滞迭代方法.设E为一致光滑Bannach空间,K为E的闭凸子集,TK→K为Lipschitz伪压缩映射且其不动点集F(T)非空,f为K上的压缩映射且t∈(0,1).若黏滞迭代路径{xt},xt=(1-t)f(xt)+tTxt且对任意初始向量x1∈K,迭...; 关键词：一致光滑BANACH空间伪压缩映射不动点强收敛

Banach空间中极大单调算子零点的迭代逼近定理被引量：3: 《Journal of Mathematical Research and Exposition》2007年第1期177-184,共8页魏利周海云; 国家自然科学基金(10471003); 令E为实光滑、一致凸Banach空间,E为其对偶空间．令A■ E x E为极大单调算子, A-10≠■．本文将引入新的迭代算法,并利用Lyapunov泛函, Qr算子与广义投影算子等技巧,证明了迭代序列弱收敛于极大单调算子A的零点的结论．; 关键词：LYAPUNOV泛函极大单调算子一致凸BANACH空间 Reich不等式

广义p-Laplace算子相关的非线性边值问题解的存在性被引量：2: 《Journal of Mathematical Research and Exposition》2006年第2期334-340,共7页魏利周海云; 国家自然科学基金(10471003); 本文首先把p-Laplace算子推广为广义p-Laplace算子,然后利用非线性增生映射值域的扰动理论研究了与广义p-Laplace算子相关的具有牛曼边值的非线性椭圆问题在LP(Ω)空间中解的存在性,其中2≤p<+∞．本文所讨论的方程及所用的方法是对以...; 关键词：增生映射单调算子 demi连续映射严格凸空间

ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES: 《Acta Mathematica Scientia》2006年第2期358-370,共13页张静任艳霞; Supported by NNSF of China (10001020 and 10471003), Foundation for Authors Awarded Excellent Ph.D.Dissertation; Suppose X is a super-α-stable process in R^d, （0 〈 α〈 2）, whose branching rate function is dr, and branching mechanism is of the form ψ（z） = z^1＋β （0 〈0 〈β ≤1）. Let Xγ and Yγ denote the exit measur...; 关键词：Super-α-stable process absolute continuity exit measure total weighted occupation time measure

超Brown运动的S-极集与非线性微分方程的解: 《中国科学（A辑）》2006年第2期146-160,共15页李秋月任艳霞; 国家自然科学基金(批准号:10471003)全国优秀博士论文作者专项基金资助项目; 给出Rd(d≥3)中规则集D上偏微分方程-1/2△V(x)+γ(x)v(x)α=0的最大、最小正解的概率表达式,其中D满足其补集Dc为紧集,γ(x)为D中正的有界可积函数,且1<α≤2．作为其应用,给出紧集是S-极集的充分必要条件．; 关键词：超BROWN运动非线性微分方程最小正解最大正解 S-极集

S-polar sets of super-Brownian motions and solutions of nonlinear differential equations: 《Science China Mathematics》2005年第12期1683-1695,共13页LI Qiuyue REN Yanxia; supported by the National Natural Science Foundation of China(Grant No.10471003);Foundation for Authors Awarded Excellent Ph.D.Dissertation.; This paper gives probabilistic expressions of theminimal and maximal positive solutions of the partial differential equation -1/2△v(x) + γ(x)v(x)α = 0 in D, where D is a regular domain in Rd(d ≥ 3) such that its c...; 关键词：super-Brownian motion nonlinear differential equation minimal POSITIVE solutions maximal POSITIVE solutions S-polar sets.

国家自然科学基金(10471003)