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math.PR2023
Stochastic heat equations on moving domains
Tianyi Pan, Wei Wang, Jianliang Zhai +1
In this paper, we establish the well-posedness of stochastic heat equations on moving domains, which amounts to a study of infinite dimensional interacting systems. The main diffic…
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…