Асимптотика м’якого розв’язку хвильового рiвняння у тривимiрному просторi, керованого загальною стохастичною мiрою

Abstract

We study the Cauchy problem for a wave equation in three-dimensional space driven by a general stochastic measure. Under some assumptions, we prove that the mild solution tends to zero almost surely as the absolute value of the spatial variable tends to infinity.