Jian Wang

activity

20152024

collaborators

3 papers

math.PR2024

$L^{2}$ -exponential ergodicity of stochastic Hamiltonian systems with $α$ -stable Lévy noises

Bao Jianhai, Wang Jian

Based on the hypocoercivity approach due to Villani \cite{Villani}, Dolbeault, Mouhot and Schmeiser \cite{DMS} established a new and simple framework to investigate directly the $L…

math.PR2022

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 $L^{2} (R^{d})$ . Our results cov…

math.PR2015

Linear Evolution Equations with Cylindrical Lévy Noise: Gradient Estimates and Exponential Ergodicity

Jian Wang

Explicit coupling property and gradient estimates are investigated for the linear evolution equations on Hilbert spaces driven by an additive cylindrical Lévy process. The results…

L2-exponential ergodicity of stochastic Hamiltonian systems with α-stable Lévy noises

The stochastic nonlinear Schrödinger equations driven by pure jump noise

Linear Evolution Equations with Cylindrical Lévy Noise: Gradient Estimates and Exponential Ergodicity

$L^{2}$ -exponential ergodicity of stochastic Hamiltonian systems with $α$ -stable Lévy noises