This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.
Liang Fei. Gao Hongjun. "Global Nonexistence of Positive Initial-Energy Solutions for Coupled NonlinearWave Equations with Damping and Source Terms." Abstr. Appl. Anal. 2011 (SI1) 1 - 14, 2011. https://doi.org/10.1155/2011/760209