Article Contents
Article Contents

# Non-autonomous wave dynamics with memory --- asymptotic regularity and uniform attractor

• The dynamical behavior of non-autonomous strongly damped wave-type evolutionary equations with linear memory, critical nonlinearity, and time-dependent external forcing is investigated. The time-dependent external forcing is assumed to be only translation-bounded, instead of translation-compact. First, the asymptotic regularity of solutions is proved, and then the existence of the compact uniform attractor together with its structure and regularity is obtained.
Mathematics Subject Classification: 35L05, 35B40, 35B41.

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