ALPHA-CONTRACTIONS AND ATTRACTORS FOR DISSIPATIVE SEMILINEAR HYPERBOLIC-EQUATIONS AND SYSTEMS
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Data
1991-01-01
Autores
Ceron, S. S.
Lopes, O.
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Ist Mat
Resumo
In this paper we discuss the existence of compact attractor for the abstract semilinear evolution equation u = Au + f (t, u); the results are applied to damped partial differential equations of hyperbolic type. Our approach is a combination of Liapunov method with the theory of alpha-contractions.
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Annali Di Matematica Pura Ed Applicata. Florence: Ist Mat, v. 160, p. 193-206, 1991.