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Publication

KIAM Preprint № 80, Moscow, 2005
Authors: Dudnicova T.V.
Stabilization of Statistical Solutions to the Wave Equation in the Even-Dimensional Space
Abstract:
Consider the wave equations in IRn , with constant or variable coefficients for even n ≥ 4. The initial datum is a random function with a finite mean density of energy that satisfies a Rosenblatt- or Ibragimov-Linnik-type mixing condition. It is assumed that the initial random function converges to two distinct space-homogeneous processes as xn→ ± ∞, with the distributions m±. We study the distribution mt of the random solution at a time t∈IR. The main result is the convergence of mt to a Gaussian measure as t → ∞.
Publication language: russian, pages: 36
Research direction:
Mathematical problems and theory of numerical methods
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