Dimension Estimate for the Global Attractor of an Evolution Equation

Renato Colucci and Gerardo R. Chacón

Abstract and Applied Analysis, 2012, vol. 2012, 1-18

Abstract:

We estimate the dimension of the global attractor of an evolution equation by the study of the evolution of the n -dimensional volumes under the flow. We compare these results with the estimate of the dimension of the inertial manifold.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:541426

DOI: 10.1155/2012/541426

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