Robust exponential attractors for non-autonomous equations with memory
Peter E. Kloeden - Institut für Mathematik, Johann Wolfgang Goethe Universität, D-60054 Frankfurt am Main, Germany (email)
Abstract: The aim of this paper is to consider the robustness of exponential attractors for non-autonomous dynamical systems with line memory which is expressed through convolution integrals. Some properties useful for dealing with the memory term for non-autonomous case are presented. Then, we illustrate the abstract results by applying them to the non-autonomous strongly damped wave equations with linear memory and critical nonlinearity.
Keywords: Non-autonomous systems with memory, robust exponential attractor,
Received: October 2008; Revised: February 2009; Available Online: December 2010.
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