Korean J. Math. Vol. 24 No. 3 (2016) pp.447-467
DOI: https://doi.org/10.11568/kjm.2016.24.3.447

The existence of random attractors for plate equations with memory and additive white noise

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Published: Sep 30, 2016
Keywords:
Plate equation, Random attractors, Fading memory, Additive noise
Mathematics Subject Classification:
35Q35, 35B40, 35B41

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Xiaoying Shen
School of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China
Qiaozhen Ma
School of Mathematics and Statistics Northwest Normal University Lanzhou, Gansu 730070, China

Abstract

We prove the existence of random attractors for the continuous random dynamical systems generated by stochastic damped plate equations with linear memory and additive white noise when the nonlinearity has a critically growing exponent.


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Supporting Agencies

This work was supported by the NSFC (11561064 11361053) and NWNU-LKQN-14-6.

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