Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results

By Alexandre Nolasco de Carvalho, Stefanie Sonner. 2013

81 citations recorded by the source corpus.

We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding results for autonomous processes.

View Paper: https://www.semanticscholar.org/paper/039d28d6b08e34bdae6236746047b707c906ae81

How researchers see this paper

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1. Stefanie Sonner
2. Alexandre Nolasco de Carvalho
3. Bixiang Wang
4. Chunyou Sun
5. José M. Arrieta

Citations in the corpus

• Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications (2013, methodology): “We proposed an alternative method for time-continuous evolution processes in [5], which does not require the Hölder continuity in time of the evolution process, we extended the algorithm for evolution processes that are asymptotically compact and considered a time-dependent family of bounded pullbac”