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Exponential attractors for abstract parabolic systems with bounded delay

Published online by Cambridge University Press:  17 April 2009

Dalibor Pražák
Dalibor Pražák
Affiliation:
Department of Mathematical Analysis, Charles University, Sokolovská83CZ-18675 Prague 8, Czech Republic e-mail: [email protected]
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We show that a suitable adaptation of the so-called method of trajectories can be used to construct an exponential attractor for a very general class of nonlinear reaction-diffusion systems with a bounded delay.

In particular, we assume that the dependence on the past history is controlled via convolution with a possibly singular measure. Assuming a priori that the solutions are bounded, a simple proof of the existence of an exponential attractor is given under very little regularity requirements.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 76 , Issue 2 , October 2007 , pp. 285 - 295
Copyright
Copyright © Australian Mathematical Society 2007

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