Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains

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ASYMPTOTIC BEHAVIOR OF THE CAHN-HILLIARD-OONO EQUATION (2011, background): “We refer the reader to [1], [14] and [21] for more details and discussions on this.”
Asymptotic regularity for some dissipative equations (2010, methodology): “As a direct application of these asymptotic regularity results, we obtain the exponential attractors immediately by some interpolation inequalities (for reaction–diffusion equation) and the methods devised in [13,23] (for wave-type equation); see Corollary 3.”
On a class of degenerate parabolic equations with dynamic boundary conditions (2011, background): “According to general theory [14, 38, 56], we are only required to check that the trajectory dynamical system is continuous and that it possesses a compact and M-bounded absorbing set.”
The Cahn-Hilliard Equation with Logarithmic Potentials (2011, methodology): “Furthermore, in several situations, as it is the case here, one can only prove the finite-dimensionality of the global attractor by constructing exponential attractors (see also [171] and the references therein).”