On the nonexistence of global solutions for wave equations with double damping terms and nonlinear memory
M. Berbiche, M. Terchi
In this work, we consider the Cauchy problem for a wave equations with
frictional and displacement dependent damping terms with nonlinear memory in
multidimensional space $\mathbb{R}^{n}$, $n\geq 1$, we will prove the
existence and uniqueness of the local solution and the nonexistence of
global weak solutions theorems for any dimension space.
Tbilisi Mathematical Journal, Vol. 13(2) (2020), pp. 161178
