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arXiv · 0801.1830

Freidlin-Wentzell's Large Deviations for Stochastic Evolution Equations

Jiagang Ren·Xicheng Zhang
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Abstract

We prove a Freidlin-Wentzell large deviation principle for general stochastic evolution equations with small perturbation multiplicative noises. In particular, our general result can be used to deal with a large class of quasi linear stochastic partial differential equations, such as stochastic porous medium equations and stochastic reaction diffusion equations with polynomial growth zero order term and $p$-Laplacian second order term.

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Jiagang Ren, Xicheng Zhang. 2008-01-11. Freidlin-Wentzell's Large Deviations for Stochastic Evolution Equations. https://arxiv.org/abs/0801.1830

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