T. V. Dudnikova, A. I. Komech, “Ergodic properties of hyperbolic equations with mixing”, Teor. Veroyatnost. i Primenen., 1996, Volume 41, Issue 3,Pages <nobr>505

This article is cited in 7 papers

Ergodic properties of hyperbolic equations with mixing

T. V. Dudnikova^a, A. I. Komech^b

^a N. E. Bauman Moscow State Technical University
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The paper proves the ergodicity of the phase flow of the Cauchy problem for wave equations with respect to the limit measure for statistical solutions of this problem under a mixing condition for the initial measure.

Keywords: Cauchy problem for the wave equation, statistical solutions, ergodicity of a flow.

Received: 01.07.1994

DOI: 10.4213/tvp3130