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On the behaviour of the solutions for a class of nonlinear elliptic problems in exterior domains
July
1998, 4(3): 455-466.
doi: 10.3934/dcds.1998.4.455
Attractors for families of processes in weak topologies of Banach spaces
| 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 |
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 & Continuous Dynamical Systems - A,
1998, 4
(3)
: 455-466.
doi: 10.3934/dcds.1998.4.455
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