Uniform exponential attractors for a singularly perturbed damped wave equation

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Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems* (2005, methodology): “where C,� > 0 and distsymm denotes the symmetric Hausdorff distance; see also [ 13 ] and [21].”
Singular limit of differential systems with memory (2006, background): “The construction parallels the one of the proof of the main theorem in [7] (but see also [ 4 ]).”
ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION (2011, background): “Robust exponential attractors We first recall the following result concerning the construction of a robust family of exponential attractors for a discrete dynamical system (see [7]; see also [8], [10], [11], [12] and [13] for generalizations): Proposition 5.”
Asymptotic regularity for some dissipative equations (2010, unknown): “8 to B0, also using the attraction transitivity lemma devised in [16], we can finish our proof by setting: for each σ ∈ [0, (1)2 ), Bσ = { z ∈ H: ∥∥z − (φ(x),0)∥∥2Hσ J B0,σ }, where J B0,σ is the constant given in Lemma 4.”
Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, background): “(d) As in [70], the exponential attractors M , > 0, constructed in [83] depend both on S and S0.”
A construction of a robust family of exponential attractors (2005, methodology): “byproduct, we can obtain the desired results with much less computations than the ones required following the approach devised in [6].”