Eden, A.; Kalantarov, V. Finite dimensional attractors for a class of semilinear wave equations. (English) Zbl 0868.35074 Turk. J. Math. 20, No. 3, 425-450 (1996). This is a survey paper on various results concerning the existence of a global attractor for semilinear wave equations containing various dissipation terms. Standard methods are used (\(\alpha\)-contractions) to construct an exponential attractor of finite dimension for a broad class of problems with different damping terms. Reviewer: E.Feireisl (Praha) Cited in 8 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35B40 Asymptotic behavior of solutions to PDEs 37C70 Attractors and repellers of smooth dynamical systems and their topological structure Keywords:\(\alpha\)-contractions; various dissipation terms PDFBibTeX XMLCite \textit{A. Eden} and \textit{V. Kalantarov}, Turk. J. Math. 20, No. 3, 425--450 (1996; Zbl 0868.35074)