5 papers
Stochastic transport equation with Lévy noise
Zdzisław Brzeźniak, Enrico Priola, Jianliang Zhai +1
We study the stochastic transport equation with globally -Hölder continuous and bounded vector field driven by a non-degenerate pure-jump Lévy noise of -stable type. Whereas…
Stochastic logarithmic Schrödinger equations driven by Lévy noise
Jiahui Zhu, Jianliang Zhai
In this paper, we study the stochastic logrithmic Schrödinger equation with saturated nonlinear multiplicative Lévy noise. The global well-posedness is established for the stochast…
Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise
Weina Wu, Jianliang Zhai, Jiahui Zhu
We establish a Freidlin-Wentzell type large deviation principle (LDP) for a class of stochastic partial differential equations with locally monotone coefficients driven by Lévy noi…
Large deviation principles for stochastic nonlinear Schrodinger equations driven by Levy noise
Jiahui Zhu, Wei Liu, Jianliang Zhai
In this work we establish a Freidlin-Wentzell type large deviation principle for stochastic nonlinear Schrödinger equation, with either focusing or defocusing nonlinearity, driven…
The stochastic nonlinear Schrödinger equations driven by pure jump noise
Jian Wang, Jianliang Zhai, Jiahui Zhu
In this paper, we establish the existence and uniqueness of solutions of stochastic nonlinear Schrödinger equations with additive jump noise in . Our results cov…