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• W2335504820 startingPage "269" @default.
• W2335504820 abstract "This paper is concerned with the asymptotic behaviorof solutionsof the damped non-autonomous stochastic wave equationsdriven by multiplicative white noise.We prove the existence of pullback random attractorsin $H^1(mathbb{R}^n) times L^2(mathbb{R}^n)$when the intensity of noise is sufficiently small.We demonstrate that these random attractorsare periodic in time if so are the deterministic non-autonomousexternal terms.We also establish the upper semicontinuityof random attractors when the intensity of noise approaches zero.In addition, we prove the measurability of random attractorseven if the underlying probability space is not complete." @default.
• W2335504820 created "2016-06-24" @default.
• W2335504820 creator A5071086678 @default.
• W2335504820 date "2014-01-01" @default.
• W2335504820 modified "2023-10-06" @default.
• W2335504820 title "Random attractors for non-autonomous stochastic wave equations with multiplicative noise" @default.
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• W2335504820 doi "https://doi.org/10.3934/dcds.2014.34.269" @default.
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