Blow-Up of Solutions with High Energies of a Coupled System of Hyperbolic Equations

Jorge A. Esquivel-Avila
2019 Abstract and Applied Analysis  
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.
doi:10.1155/2019/7405725 fatcat:oolm2mzcjfggtplbzdoagvakoq