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math.PR2022
Large deviations of fully local monotone stochastic partial differential equations driven by gradient-dependent noise
Tianyi Pan, Shijie Shang, Jianliang Zhai +1
Consider stochastic partial differential equations (SPDEs) with fully local monotone coefficients in a Gelfand triple $$ \left\{ \begin{align} &dX_t=A(t…
math.PR2022
Large deviations of stochastic heat equations with logarithmic nonlinearity
Tianyi Pan, Shijie Shang, Tusheng Zhang
In this paper, we establish a large deviation principle for the solutions to the stochastic heat equations with logarithmic nonlinearity driven by Brownian motion, which is neither…