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Robust exponential attractors for non-autonomous equations with memory

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  • 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.
    Mathematics Subject Classification: 35L05, 35B40, 35B41.


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