Bi-spaces global and exponential attractors for the time continuous dynamical systems are considered and the bounds on their fractal dimension are discussed in the context of the smoothing properties of the system between appropriately chosen function spaces. A unified analytic semigroup approach to abstract parabolic equations is described and applications to the sample problems are given.
Remarks on the fractal dimension of bi-space global and exponential attractors / J. Cholewa, R. Czaja, G. Mola. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 1:9(2008), pp. 121-145.
Remarks on the fractal dimension of bi-space global and exponential attractors
G. MolaUltimo
2008
Abstract
Bi-spaces global and exponential attractors for the time continuous dynamical systems are considered and the bounds on their fractal dimension are discussed in the context of the smoothing properties of the system between appropriately chosen function spaces. A unified analytic semigroup approach to abstract parabolic equations is described and applications to the sample problems are given.
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