We consider an abstract coupled evolution system of second order in time. For any positive value of the initial energy, in particular for high energies, we give sufficient conditions on the initial data to conclude nonexistence of global solutions. We compare our results with those in the literature and show how we improve them.
"Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations." Abstr. Appl. Anal. 2019 1 - 11, 2019. https://doi.org/10.1155/2019/7405725