# American Institute of Mathematical Sciences

December  2017, 37(12): 6383-6403. doi: 10.3934/dcds.2017277

## Random pullback exponential attractors: General existence results for random dynamical systems in Banach spaces

 1 Departamento Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, C/ Tarfia s/n, 41012 Sevilla, Spain 2 Institut für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universität Graz, Heinrichstr. 36, 8010 Graz, Austria

* Corresponding author: Stefanie Sonner

Received  March 2017 Revised  July 2017 Published  August 2017

Fund Project: The first author was partially supported by FEDER (EU) and Ministerio de Economía y Competitividad (Spain) grant MTM2015-63723-P and by the Junta de Andalucía under the Proyecto de Excelencia P12-FQM-1492.

We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.

Citation: Tomás Caraballo, Stefanie Sonner. Random pullback exponential attractors: General existence results for random dynamical systems in Banach spaces. Discrete & Continuous Dynamical Systems, 2017, 37 (12) : 6383-6403. doi: 10.3934/dcds.2017277
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