Abstract:This work is concerned with the Freidlin-Wentzell type large deviation principle for a family of multi-scale quasi-linear and semi-linear stochastic partial differential equations (SPDEs) with small multiplicative noise under the generalized variational setting, which extend several existing works to the multiscale process. Employing the weak convergence method developed by Dupuis and Ellis [7] and Khasminskii's time discretization approach [18], the Laplace principle for SPDEs will be derived, which is equiva… Show more
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