Nonexistence of global solutions for damped abstract wave equations with memory
2021 ◽
Vol 2090
(1)
◽
pp. 012117
Keyword(s):
Abstract We consider a class of abstract nonlinear wave equations with memory and linear dissipation. We give sufficient conditions in terms of the nitial data to prove the nonexistence of global solutions. We improve recent results that have studied this problem for viscoelastic wave, Kirchhoff and Petrovsky equations with positive initial energy values.