Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
نویسندگان
چکیده
The authors consider non-autonomous dynamical behavior of wave-type evolutionary equations with nonlinear damping and critical nonlinearity. These type of wave equations are formulated as continuous non-autonomous dynamical systems (cocycles). A sufficient and necessary condition for the existence of pullback attractors is established. The required compactness for the existence of pullback attractors is then fulfilled by some new a priori estimates for concrete wave type equations arising from applications.
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تاریخ انتشار 2006