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On a semilinear stochastic partial differential equation with double-parameter fractional noises 被引量：2

On a semilinear stochastic partial differential equation with double-parameter fractional noises
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摘要 We study the existence,uniqueness and Hlder regularity of the solution to a stochastic semilinear equation arising from 1-dimensional integro-differential scalar conservation laws.The equation is driven by double-parameter fractional noises.In addition,the existence and moment estimate are also obtained for the density of the law of such a solution. We study the existence,uniqueness and Hlder regularity of the solution to a stochastic semilinear equation arising from 1-dimensional integro-differential scalar conservation laws.The equation is driven by double-parameter fractional noises.In addition,the existence and moment estimate are also obtained for the density of the law of such a solution.
作者 LIU JunFeng YAN LiTan
机构地区 Department of Mathematics Department of Mathematics
出处 《Science China Mathematics》 SCIE 2014年第4期855-872,共18页 中国科学：数学（英文版）
基金 supported by Mathematical Tianyuan Foundation of China(Grant No.11226198) Priority Academic Program Development of Jiangsu Higher Education Institutions National Natural Science Foundation of China(Grant No.11171062) Innovation Program of Shanghai Municipal Education Commission(Grant No.12ZZ063)
关键词 stochastic partial differential equations double-parameter fractional noises H61der regularity density of the law Malliavin calculus 随机偏微分方程 半线性方程 参数分数 噪音 噪声驱动 守恒律 矩估计 标量
分类号 O211.63 [理学—概率论与数理统计] O175.29 [理学—基础数学]
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Science China Mathematics
2014年 第4期

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