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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH SPACES: THEORETICAL RESULTS

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Author(s):
Carvalho, Alexandre N. [1] ; Sonner, Stefanie [1, 2, 3]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Helmholtz Zentrum Munchen, Inst Biomath & Biometrie, D-85764 Neuherberg - Germany
[3] BCAM, E-48009 Bilbao, Basque Country - Spain
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 12, n. 6, p. 3047-3071, NOV 2013.
Web of Science Citations: 14
Abstract

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. (AU)