Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy

By H. Levine, Grozdena Todorova. 2000

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Existence for a nonlinear wave equation with damping and source terms (2003, unknown): “For the case Q ≡ 0 see [3], [7], [11], [12], [20], [30]; for the case f ≡ 0 see [8], [10]; when both terms Q and f interact, see [6], [9], [13], [14], [15], [18], [19], [25], [26], [27], [31], [32], [33].”
Blow-up for nonlinear dissipative wave equations in Rn (2005, methodology): “In order to control the decrease of the energy, the authors in [10] rescaled the data by setting (2) u0 = σψ, v0 = ρφ.”
Global solutions and finite time blow up for damped semilinear wave equations ? ? The first author w (2006, methodology): “However we mention that, by exploiting a completely different method, the existe solutions with arbitrarily high initial energy has been also obtained in [19] for weakly damped wave equat the wholeR.”
Wave Equation with p(x,t) - Laplacian and Damping Term: Existence and Blow-up (2011, unknown): “,[18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 33, 37, 40, 41, 42, 43, 44, 45, 46, 47] and the further references therein.”