论文标题
尺寸为1,2和3的随机波方程的空间层状
Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3
论文作者
论文摘要
在本说明中,我们研究了一大类的随机波方程,其空间维度小于或等于$ 3 $。通过Malliavin演算的软应用,我们确定它们的随机场溶液在空间上是奇异的。
In this note, we study a large class of stochastic wave equations with spatial dimension less than or equal to $3$. Via a soft application of Malliavin calculus, we establish that their random field solutions are spatially ergodic.