The High-order SPDEs Driven by Multi-parameter Fractional Noises  

作　　者：Ting Ting WEI 

机构地区：[1]Schoole of Mathematics, Nankai University, Tianjin 300071, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第10期1943-1960,共18页数学学报（英文版）

基　　金：Supported by the School of Mathematics;LPMC at Nankai University;the NSF of China (Grant No. 10871103)

摘　　要：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 the stochastic equations and the existence of the density of the law of the solution is obtained.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 the stochastic equations and the existence of the density of the law of the solution is obtained.

关 键 词：Fourth-order stochastic heat equation multi-parameter fractional noise REGULARITY 

分 类 号：O122.3[理学—数学] TN791[理学—基础数学]