Systems of small-noise stochastic reaction–diffusion equations satisfy a large deviations principle that is uniform over all initial data

M. Salins

Stochastic Processes and their Applications, 2021, vol. 142, issue C, 159-194

Abstract: Large deviations principles characterize the exponential decay rates of the probabilities of rare events. Cerrai and Röckner (2004) proved that systems of stochastic reaction–diffusion equations satisfy a large deviations principle that is uniform over bounded sets of initial data.

Date: 2021
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DOI: 10.1016/j.spa.2021.08.010

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