Large Deviation Principle for the Fourth-order Stochastic Heat Equations with Fractional Noises  

作　　者：Yi Ming JIANG Ke Hua SHI Yong Jin WANG 

机构地区：[1]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第1期89-106,共18页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10871103)

摘　　要：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 equation. Furthermore, the regularity of the solution will be obtained. On the other hand, the large deviation principle for the equation with a small perturbation will be established through developing a classical method.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 equation. Furthermore, the regularity of the solution will be obtained. On the other hand, the large deviation principle for the equation with a small perturbation will be established through developing a classical method.

关 键 词：fourth-order stochastic heat equation fractional noise existence and uniqueness REGULARITY large deviation principle 

分 类 号：O211.6[理学—概率论与数理统计] O175.24[理学—数学]