Ergodic properties of hyperbolic equations with mixing

Theory of Probability and its Applications

Volumn 41, Issue 3, 1996, Pages 436-448

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

^a BAUMAN MOSCOW STATE TECHNICAL UNIVERSITY   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Cauchy problem for the wave equation; Ergodicity of a flow; Statistical solutions

Indexed keywords

EID: 0030344568     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0040585X97975204     Document Type: Article

References (12)

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2. N. E. RATANOV, Stabilization of statistical solutions of the wave equation, in Differential Equations and its Applications, Moscow University Press, Moscow, 1984, pp. 95-101 (in Russian).
3. N. E. RATANOV, On asymptotic normality of statistical solution of the wave equation, in Differential Equations and its Applications, Moscow University Press, Moscow, 1984, pp. 153-160 (in Russian).
4. N. E. RATANOV, Stabilization of statistical solutions of hyperbolic equations of second order, Uspekhi Mat. Nauk, 39 (1984), pp. 151-152 (in Russian).
5. V. P. MIKHAILOV, Partial Differential Equations, Nauka, Moscow, 1983 (in Russian).
6. I. M. VISHIK AND A. V. FURSIKOV, Mathematical Problems of Statistical Hydromechanics, Nauka, Moscow, 1980 (in Russian).
7. I. A. IBRAGIMOV AND YU. V. LINNIK, Independent and Stationary Connected Variables, Nauka, Moscow, 1965 (in Russian).
8. E. HOPF, The ergodic theory, Uspekhi Mat. Nauk, 4 (1949), pp. 113-182 (in Russian).
9. P. BILLINGSLEY, Convergence of Probability Measures, John Wiley, New York, 1968.
10. A. V. SKOROKHOD, Integrating in the Hilbert Space, Nauka, Moscow, 1975 (in Russian).
11. M. ROSENBLATT, A central limit theorem and a strong mixing condition, Proc. Nat. Acad. Sci. U.S.A., 42 (1956), pp. 43-47.
12. I. M. GEL'FAND AND G. E. SHILOV, Generalized Functions, 1-5, Academic Press, New York, 1966-1968.