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Bogoliubov averaging principle of stochastic reaction-diffusion equation (Q1731866)

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scientific article; zbMATH DE number 7036317
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Bogoliubov averaging principle of stochastic reaction-diffusion equation
scientific article; zbMATH DE number 7036317

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    Bogoliubov averaging principle of stochastic reaction-diffusion equation (English)
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    14 March 2019
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    The author concerned with Bogoliubov averaging principle of stochastic reaction-diffusion equation with a stochastic process and a small parameter. The solutions to stochastic reaction-diffusion equation can be approximated by solutions to averaged stochastic reaction-diffusion equation in the sense of convergence in probability and in distribution. Finally, the author established a weak law of large numbers for the solution of stochastic reaction-diffusion equation. This is an interesting work.
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    stochastic reaction-diffusion equation
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    averaging principle
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