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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2003 Volume 39, Issue 1, Pages 4–23 (Mi ppi154)

This article is cited in 2 papers

Kolmogorov $\varepsilon$-Entropy in Problems on Global Attractors of Evolution Equations of Mathematical Physics

M. I. Vishik, V. V. Chepyzhov


Abstract: We study the Kolmogorov $\varepsilon$-entropy and the fractal dimension of global attractors for autonomous and nonautonomous equations of mathematical physics. We prove upper estimates for the $\varepsilon$-entropy and fractal dimension of the global attractors of nonlinear dissipative wave equations.

UDC: 621.391:519.2


 English version:
Problems of Information Transmission, 2003, 39:1, 2–20

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