Freidlin-Wentzell's large deviation principle for stochastic integral evolution equations

Abstract

<p style='text-indent:20px;'>The main aim of this work is to investigate the large deviation principle for a class of stochastic integral evolution equations. As applications, our results can be applied to a large class of stochastic models with hereditary or memory effects such as stochastic integral porous medium equations, stochastic integral <inline-formula><tex-math id="M1">\begin{document}$ p $\end{document}</tex-math></inline-formula>-Laplace equations and stochastic integral 2D Navier-Stokes equations.</p>