Otro
ALPHA-CONTRACTIONS AND ATTRACTORS FOR DISSIPATIVE SEMILINEAR HYPERBOLIC-EQUATIONS AND SYSTEMS
Registro en:
Annali Di Matematica Pura Ed Applicata. Florence: Ist Mat, v. 160, p. 193-206, 1991.
0003-4622
10.1007/BF01764127
WOS:A1991KX10600011
Autor
Ceron, S. S.
Lopes, O.
Resumen
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.