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国家自然科学基金(10871103): 作品数：13被引量：22H指数：3; 导出分析报告; 相关作者：王永进史可华薄立军江一鸣更多>>; 相关机构：南开大学西安电子科技大学更多>>; 相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Chinese Annals of Mathematics,Series B》《数学进展》更多>>; 相关主题：FRACTIONALNOISESLOCALFOURTH-ORDERREGULARITY更多>>; 相关领域：理学电子电信自动化与计算机技术天文地球更多>>

The High-order SPDEs Driven by Multi-parameter Fractional Noises被引量：1: 《Acta Mathematica Sinica,English Series》2010年第10期1943-1960,共18页Ting Ting WEI; Supported by the School of Mathematics;LPMC at Nankai University;the NSF of China (Grant No. 10871103); The existence and uniqueness of the solutions are proved for a class of fourth-order stochastic heat equations driven by multi-parameter fractional noises. Furthermore the regularity of the solutions is studied for th...; 关键词：Fourth-order stochastic heat equation multi-parameter fractional noise REGULARITY

The Stochastic Wave Equations Driven by Fractional and Colored Noises被引量：1: 《Acta Mathematica Sinica,English Series》2010年第6期1055-1070,共16页Dan TANG Yong Jin WANG; Supported by NationalNatural Science Foundation of China (Grant No. 10871103); We investigate a wave equation in the plane with an additive noise which is fractional in time and has a non-degenerate spatial covariance. The equation is shown to admit a process-valued solution. Also we give a cont...; 关键词：fractional spatial colored noise process-valued solution stochastic wave equations

Stochastic Wave Equations with Memory被引量：2: 《Chinese Annals of Mathematics,Series B》2010年第3期329-342,共14页Tingting WEI Yiming JIANG; Project supported by the National Natural Science Foundation of China (No. 10871103); The authors show the existence and uniqueness of solution for a class of stochastic wave equations with memory. The decay estimate of the energy function of the solution is obtained as well.; 关键词：Stochastic wave equations with memory RESOLVENT Infinite dimensionalWiener process Energy function

Stochastic Fractional Anderson Models with Fractional Noises被引量：1: 《Chinese Annals of Mathematics,Series B》2010年第1期101-118,共18页Yiming JIANG Kehua SHI Yongjin WANG; supported by the National Natural Science Foundation of China (No. 10871103); The authors are concerned with a class of one-dimensional stochastic Anderson models with double-parameter fractional noises, whose differential operators are fractional. A unique solution for the model in some approp...; 关键词：Anderson models Fractional noises Lyapunov exponent Holder continuity Absolute continuity

Large Deviation Principle for the Fourth-order Stochastic Heat Equations with Fractional Noises被引量：5: 《Acta Mathematica Sinica,English Series》2010年第1期89-106,共18页Yi Ming JIANG Ke Hua SHI Yong Jin WANG; Supported by National Natural Science Foundation of China (Grant No. 10871103); In this paper, we shall study a fourth-order stochastic heat equation driven by a fractional noise, which is fractional in time and white in space. We will discuss the existence and uniqueness of the solution to the e...; 关键词：fourth-order stochastic heat equation fractional noise existence and uniqueness REGULARITY large deviation principle

Self-intersection local times and collision local times of bifractional Brownian motions被引量：12: 《Science China Mathematics》2009年第9期1905-1919,共15页JIANG YiMing WANG YongJin; supported by National Natural Science Foundation of China (Grant No.10871103); In this paper, we consider the local time and the self-intersection local time for a bifractional Brownian motion, and the collision local time for two independent bifractional Brownian motions. We mainly prove the ex...; 关键词：bifractional Brownian motion self-intersection local time collision local time strong local nondeterminism 60G15 60G18 60J55

Large Deviation for Stochastic Cahn-Hilliard Partial Differential Equations被引量：3: 《Acta Mathematica Sinica,English Series》2009年第7期1157-1174,共18页Ke Hua SHI Dan TANG Yong Jin WANGSchool of Mathematical Sciences, Nankai University, Tianjin 300071, P. R. China; Supported by the LPMC at Nankai University;the NSF of China (Grant No. 10871103); In this paper, we prove a large deviation principle for a class of stochastic Cahn-Hilliard partial differential equations driven by space-time white noises.; 关键词：stochastic Cahn-Hilliard partial differential equations large deviation principle Freidlin Wentzell inequality

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

双分式Brown运动的自相交局部时和相遇局部时: 《中国科学（A辑）》2009年第2期199-213,共15页江一鸣王永进; 国家自然科学基金(批准号:10871103)资助项目; 考虑一个双分式Brown运动的局部时、自相交局部时和两个独立的双分式Brown运动的相遇局部时问题.通过双分式Brown运动的强局部不确定性、L^2收敛和混沌展开,验证自相交局部时和相遇局部时的存在性和光滑性.; 关键词：双分式Brown运动自相交局部时相遇局部时强局部不确定性

From Markov Jump Systems to Two Species Competitive Lotka-Volterra Equations with Diffusion被引量：1: 《Acta Mathematica Sinica,English Series》2009年第1期157-170,共14页Xue Qiang WANG Li Jun BO Yong Jin WANG; Supported by National Natural Science Foundations of China (No. 10871103); In this paper, we start at a random evolution system on biological particles, which is described by a Markov jump system. Under a suitable scaling, we perform a proper approximation procedure. Then the so-called weak ...; 关键词：Markov jump system competitive Lotka-Volterra equation weak convergence

国家自然科学基金(10871103)