Energy decay rates for the semilinear wave equation with nonlinear localized damping and source terms

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On a wave equation with supercritical interior and boundary sources and damping terms (2011, background): “While energy decay has been extensively studied for interior sources up to the critical level (see for instance the overviews in [2], [3], [11], [16], [23], [30]), few results are available for boundary sources (still up to the critical order) [12], [14], [22], [28]; and none, to our knowledge, for ”
Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory (2014, result): “5 leads to the following decay result proved originally in [22] with more explicit estimates in [21] (see also [3] for results on decay rates of the energy expressed in terms of integral inequalities): Lemma 14.”
Weighted L2-estimates for dissipative wave equations with variable coefficients (2009, unknown): “In contrast to the enormous number of works concerning L2-estimates, the number of general techniques is quite small: (1) resolvent estimates for parameter dependent elliptic operators [AL], [CZ], [FZ], [HM], [RT1], [RW], [SJ], [W1], (2) observability inequalities combined with the energy dissipatio”