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• W2499697849 abstract "The averaging principle is an important method to extract effective macroscopic dynamic from complex systems with slow component and fast component. This paper concerns the L p -strong convergence of the averaging principle for two-time-scales stochastic partial differential equations (SPDEs) driven by Wiener processes and Poisson jumps. To achieve this, a key step is to show the existence for an invariant measure with exponentially ergodic property for the fast equation, where the dissipative conditions are needed. Furthermore, it is shown that under suitable assumptions the slow component L p -strongly converges to the solution of the averaged equation. The rate of the convergence is also obtained as a byproduct." @default.
• W2499697849 created "2016-08-23" @default.
• W2499697849 creator A5081764476 @default.
• W2499697849 date "2017-01-01" @default.
• W2499697849 modified "2023-09-29" @default.
• W2499697849 title "L-strong convergence of the averaging principle for slow–fast SPDEs with jumps" @default.
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• W2499697849 doi "https://doi.org/10.1016/j.jmaa.2016.07.058" @default.
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