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A non-autonomous strongly damped wave equation: Existence and continuity of the pullback attractor

Authors:	Tomás Caraballo Alexandre N CarvalhoJosé A Langa Felipe Rivero

Institution:	^a Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain ^b Instituto de Ciências Matemáticas e de Computaçao, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil

Abstract:	In this paper we consider the strongly damped wave equation with time-dependent terms u_tt−Δu−γ(t)Δu_t+β_ε(t)u_t=f(u),

Keywords:	Non-autonomous damped wave equation Existence and structure of the pullback attractor Lower and upper semicontinuity
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