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On dimension of attractors of differential inclusions and reaction-diffussion equations

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  • In this paper we improve a general theorem of O.A. Ladyzhenskaya on the dimension of compact invariant sets in Hilbert spaces. Then we use this result to prove that the Hausdorff and fractal dimensions of global compact attractors of differential inclusions and reaction-diffusion equations are finite.
    Mathematics Subject Classification: 58F12, 58F39.

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