Exponential attractors for singularly perturbed damped wave equations: A simple construction

This note is concerned with the damped wave equation e 2 ∂ttu + ∂tu − Δu + f (u) = g depending on a small parameter e and with the corresponding parabolic equation ∂tu − Δu + f (u) = g obtained in the singular limit e → 0. The existence of a family Me of exponential attractors which is Holder continuous with respect to e is proved.

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