Asymptotic almost-equivalence of abstract evolution systems
Functional Analysis
2009-04-15 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.0904.2157,
title = {Asymptotic almost-equivalence of abstract evolution systems},
author = {Felipe Alvarez and Juan Peypouquet},
journal= {arXiv preprint arXiv:0904.2157},
year = {2009}
}