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Nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms

Nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms

In this paper, we study the nonexistence of global weak solutions for a wave equation with nonlinear memory and damping terms. We give an answer to an open problem posed in [M. D'Abbicco, A wave equation with structural damping and nonlinear memory, Nonlinear Differ. Equ. Appl. 21 (2014), 751-773]. Moreover, …