Open AccessPullback random attractors of stochastic strongly damped wave equations with variable delays on unbounded domains
Author(s) -
Li Yang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021793
Subject(s) - pullback attractor , pullback , attractor , mathematics , forcing (mathematics) , variable (mathematics) , compact space , mathematical analysis , random variable , pure mathematics , statistics
In this paper, we consider the asymptotic behavior of solutions to stochastic strongly damped wave equations with variable delays on unbounded domains, which is driven by both additive noise and deterministic non-autonomous forcing. We first establish a continuous cocycle for the equations. Then we prove asymptotic compactness of the cocycle by tail-estimates and a decomposition technique of solutions. Finally, we obtain the existence of a tempered pullback random attractor.