Asymptotic almost-equivalence of abstract evolution systems
Abstract: We study the asymptotic behavior of almost-orbits of abstract evolution systems in Banach spaces with or without a Lipschitz assumption. In particular, we establish convergence, convergence in average and almost-convergence of almost-orbits both for the weak and the strong topologies based on the behavior of the orbits. We also analyze the set of almost-stationary points.
Keywords: Evolution systems, almost-orbits, asymptotic behavior
Category 1: Applications -- Science and Engineering (Basic Sciences Applications )
Category 2: Convex and Nonsmooth Optimization
Citation: Unpublished. CMM, Blanco Encalada 2120, 7mo piso, Santiago Chile. January 2008.
Entry Submitted: 05/13/2008
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