60 citations · 263 across the 86 of their papers we have counts for
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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…
Accessibility of SPDEs driven by pure jump noise and its applications
Jian Wang, Hao Yang, Jianliang Zhai +1
In this paper, we develop a new method to obtain the accessibility of stochastic partial differential equations driven by additive pure jump noise. An important novelty of this pap…
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…
Irreducibility and ergodicity of SPDEs driven by pure jump noise
Jian Wang, Hao Yang, Jianliang Zhai +1
The irreducibility is fundamental for the study of ergodicity of stochastic dynamical systems. The existing methods on the irreducibility of stochastic partial differential equatio…
Well-posedness of stochastic partial differential equations with fully local monotone coefficients
Michael Röckner, Shijie Shang, Tusheng Zhang
Consider stochastic partial differential equations (SPDEs) with fully local monotone coefficients in a Gelfand triple : \begin{align*} \left\{ \begin{al…