Open AccessRANDOM ATTRACTOR FOR NON-AUTONOMOUS STOCHASTIC STRONGLY DAMPED WAVE EQUATION ON UNBOUNDED DOMAINS
Author(s) -
Zhaojuan Wang,
Shengfan Zhou
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015031
Subject(s) - uniqueness , attractor , mathematics , pullback attractor , damped wave , mathematical analysis , wave equation , pullback , dynamics (music) , physics , acoustics
In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains. First we introduce a continuous cocycle for the equation and then investigate the existence and uniqueness of tempered random attractors which pullback attract all tempered random sets.
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