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math.PR2019
On the small time asymptotics of quasilinear parabolic stochastic partial differential equations
Rangrang Zhang
In this paper, we establish a small time large deviation principles for the quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are nei…
math.PR2019
On the small time asymptotics of scalar stochastic conservation laws
Zhao Dong, Rangrang Zhang
In this paper, we establish a small time large deviation principles for scalar stochastic conservation laws driven by multiplicative noise. The doubling of variables method plays a…
math.PR2019★ 3 cited
Semilinear stochastic partial differential equations: central limit theorem and moderate deviations
Rangrang Zhang, Jie Xiong
In this paper, we establish a central limit theorem (CLT) and the moderate deviation principles (MDP) for a class of semilinear stochastic partial differential equations driven by…