Attractors for Strongly Damped Wave Equations with Critical Nonlinearities

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A model of viscoelasticity with time-dependent memory kernels (2016, background): “, [1, 2, 4, 8, 16, 18, 19, 21, 22, 23, 24, 25, 26, 30] and references therein), we are not aware of analytic studies which consider the possibility of including aging phenomena (or, more generally, changes of the structural properties) of the material within the dynamics.”
Asymptotic regularity for some dissipative equations (2010, background): “3) (actually, in [5], they considered a more general equation than (4.”
Strongly damped wave problems: Bootstrapping and regularity of solutions (2008, background): “We first prove that the above problems are locally well posed not only in the L setting (context in which they have already been extensively studied, see [4, 5, 6, 8, 9, 10, 22, 26, 28]), but also in the L setting, context for which the theory has not been fully developed (see, for example, [23]).”
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping (2010, background): “Models with different types of strong (linear) damping in wave equations were considered in [6, 7, 23, 38, 45], see also the literature quoted in these references.”
Long-time Behavior of Second Order Evolution Equations With Nonlinear Damping (2008, background): “, the monograph [59], the survey [40] and the references therein, and also the recent papers [11, 88]).”