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July  1998, 4(3): 455-466. doi: 10.3934/dcds.1998.4.455

Attractors for families of processes in weak topologies of Banach spaces

Filippo Gazzola 1, and  Mirko Sardella 2,

1. 

Dipartimento di Scienze T.A. - via Cavour 84, 15100 Alessandria, Italy
2. 

Dipartimento di Matematica del Politecnico, corso Duca degli Abruzzi 24, 10129 Torino, Italy

Received  January 1998 Published  April 1998

A general theory for the study of families of processes in the weak topology of some Banach space is suggested: sufficient conditions for the existence and connectedness of attractors are proved. The results apply to (nonlinear) nonautonomous evolution partial differential equations for which the behavior of the corresponding processes is better described when the phase space is endowed with its weak topology.
Keywords: Processes, compactification at infinity..
Mathematics Subject Classification: 47H20, 35B40, 35K5.
Citation: Filippo Gazzola, Mirko Sardella. Attractors for families of processes in weak topologies of Banach spaces. Discrete and Continuous Dynamical Systems, 1998, 4 (3) : 455-466. doi: 10.3934/dcds.1998.4.455
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