The stochastic wave equations driven by fractional and colored noises

被引：0
|
作者：
Dan Tang
Yong Jin Wang
机构：
[1] Nankai University,School of Mathematical Sciences and LPMC
[2] Nankai University,School of Mathematical Sciences and School of Business
来源：
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词：
fractional spatial colored noise; process-valued solution; stochastic wave equations; 60H15; 35R60; 35P10;
D O I：
暂无
中图分类号：
学科分类号：
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 Hölder continuity is presented.
引用
收藏
页码：1055 / 1070
页数：15
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