Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
The authors consider non-autonomous dynamical behaviour of wave-type evolutionary equations with nonlinear damping and critical nonlinearity. These type of waves equations are formulated as non-autonomous dynamical systems (namely, cocycles). A sufficient and necessary condition for the existence of pullback attractors is established for norm-to-weak continuous non-autonomous dynamical systems, in terms …