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• W1998460280 abstract "A semilinear partial differential equation of hyperbolic type with a convolution term describing simple viscoelastic materials with fading memory is considered. Regarding the past history (memory) of the displacement as a new variable, the equation is transformed into a dynamical system in a suitable Hilbert space. The dissipation is extremely weak, and it is all contained in the memory term. Longtime behavior of solutions is analyzed. In particular, in the autonomous case, the existence of a global attractor for solutions is achieved." @default.
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• W1998460280 date "2001-08-01" @default.
• W1998460280 modified "2023-10-18" @default.
• W1998460280 title "Global Attractors for a Semilinear Hyperbolic Equation in Viscoelasticity" @default.
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• W1998460280 doi "https://doi.org/10.1006/jmaa.2001.7437" @default.
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