187 citations · 727 across the 42 of their papers we have counts for
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Truncated Milstein method for non-autonomous stochastic differential equations and its modification
Juan Liao, Wei Liu, Xiaoyan Wang
The truncated Milstein method, which was initially proposed in (Guo, Liu, Mao and Yue 2018), is extended to the non-autonomous stochastic differential equations with the super-line…
A minimax argument to a stronger version of the Jacobian conjecture
Wei Liu
The main result of this paper is to prove the strong real Jacobian conjecture under the symmetric assumption and reveals the link between it and the Jacobian conjecture. Precisely,…
Long-time behaviors of mean-field interacting particle systems related to McKean-Vlasov equations
Wei Liu, Liming Wu, Chaoen Zhang
In this paper, we investigate gradient estimate of the Poisson equation and the exponential convergence in the Wasserstein metric , uniform in the number of particle…
Finite Time Blowup of Solutions to SPDEs with Bernstein Functions of the Laplacian
Chan-Song Deng, Wei Liu, Erkan Nane
The blowup in finite time of solutions to SPDEs \begin{equation*} \partial_tu_t(x)=-ϕ(-Δ)u_t(x) +σ(u_t(x))\dotξ(t,x), \quad t>0,x\in\mathbb{R}^d, \end{equation*} { is} investigated…
The Stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise
Zdzisław Brzeźniak, Wei Liu, Jiahui Zhu
We establish a new version of the stochastic Strichartz estimate for the stochastic convolution driven by jump noise which we apply to the stochastic nonlinear Schrödinger equation…