Criteria for strong and weak random attractors
Hans Crauel (Goethe-Universit\"at Frankfurt), Georgi Dimitroff (ITWM, Kaiserslautern), Michael Scheutzow (TU Berlin)
TL;DR
This paper investigates the necessary and sufficient conditions for the existence of strong and weak random attractors, focusing on different notions of attraction such as pullback and weak attraction.
Contribution
It provides a comprehensive analysis of criteria determining the existence of pullback and weak attractors in the theory of random attractors.
Findings
Established conditions for the existence of pullback attractors.
Established conditions for the existence of weak attractors.
Clarified the relationship between different notions of attraction.
Abstract
The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for the existence of pullback attractors as well as of weak attractors.
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