On a semilinear stochastic partial differential equation with double-parameter fractional noises  

作　　者：LIU JunFeng YAN LiTan 

机构地区：[1]Department of Mathematics,Nanjing Audit University [2]Department of Mathematics,Donghua University

出　　处：《Science China Mathematics》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)

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.

关 键 词：stochastic partial differential equations double-parameter fractional noises H61der regularity density of the law Malliavin calculus 

分 类 号：O211.63[理学—概率论与数理统计] O175.29[理学—数学]