Elsevier

Applied Mathematics Letters

Volume 48, October 2015, Pages 41-46
Applied Mathematics Letters

Large deviations for stochastic 3D cubic Ginzburg–Landau equation with multiplicative noise

https://doi.org/10.1016/j.aml.2015.02.014Get rights and content
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Abstract

This paper considers the large deviation principle for the stochastic 3D cubic Ginzburg–Landau equation perturbed by a small multiplicative noise. Using the weak convergence approach, we establish a large deviation principle of Freidlin–Wentzell type by proving a Laplace principle.

Keywords

Large deviations
Stochastic 3D Ginzburg–Landau equation
Laplace principle
Weak convergence method

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