Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3
classification
🧮 math.PR
keywords
equationsspatialstochasticwaveapplicationcalculusclassdimension
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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.
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