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Topological dimensions of global attractors for semilinear PDE's with delays
Published online by Cambridge University Press: 17 April 2009
Abstract
An estimate is obtained on the Hausdorff and fractal dimensions of global attractors of semilinear partial differential equations with delay: ẋ(t) = Ax(t) + f(xt). The method employed is to associate such an equation with a nonlinear semigroup on a product space and then appeal to the upper estimate due to Constantin, Foias and Teman on topological dimensions of global attractors for general nonlinear dynamical systems.
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- Copyright © Australian Mathematical Society 1991
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