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- W2142036701 abstract "Abstract In this article semigroups in a general metric space V , which have pointwise exponentially attracting local unstable manifolds of compact invariant sets, are considered. We show that under a suitable set of assumptions these semigroups possess strong exponential dissipative properties. In particular, there exists a compact global attractor which exponentially attracts each bounded subset of V . Applications of abstract results to ordinary and partial differential equations are given." @default.
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- W2142036701 date "2011-03-15" @default.
- W2142036701 modified "2023-09-25" @default.
- W2142036701 title "Exponential global attractors for semigroups in metric spaces with applications to differential equations" @default.
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- W2142036701 doi "https://doi.org/10.1017/s0143385710000702" @default.
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