The Stochastic Wave Equations Driven by Fractional and Colored Noises  

作　　者：Dan TANG Yong Jin WANG 

机构地区：[1]School of Mathematical Sciences and LPMC,Nankai University, Tianjin 300071, P. R. China [2]School of Mathematical Sciences and School of Business, Nankai University, Tianjin 300071, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第6期1055-1070,共16页数学学报（英文版）

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

摘　　要：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 continuity modulus of the solution, and the HSlder continuity is presented.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 continuity modulus of the solution, and the HSlder continuity is presented.

关 键 词：fractional spatial colored noise process-valued solution stochastic wave equations 

分 类 号：O112[理学—数学] TN791[理学—基础数学]