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20052026
most citedSchrodinger-Poisson system with steep potential well

150 citations

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13 papers · 1 filter

math.PR2023

On Time Uniform Wong-Zakai Approximation Theorems

Pierre Del Moral, Shulan Hu, Ajay Jasra +2

We consider the long time behavior of Wong-Zakai approximations of stochastic differential equations. These piecewise smooth diffusion approximations are of great importance in man…

math.PR2019

A Kolmogorov type theorem for stochastic fields

Jinlong Wei, Guangying Lv

We generalize the Kolmogorov continuity theorem and prove the continuity of a class of stochastic fields with the parameter. As an application, we derive the continuity of solution…

math.PR2019

Blowup solutions for stochastic parabolic equations

G. Lv, J. Wei

In this short paper, we are concerned with the blowup phenomenon of stochastic parabolic equations. By using comparison principle and the results of deterministic parabolic equatio…

math.PR2018★ 2 cited

Central limit theorem and moderate deviations for a class of semilinear SPDES

Shulan Hu, Ruinan Li, Xinyu Wang

In this paper we prove a central limit theorem and a moderate deviation principle for a class of semilinear stochastic partial differential equations, which contain Burgers' equati…

math.PR2018

Periodic solution of stochastic process in the distributional sense

Guangying Lv, Hongjun Gao, Jinlong Wei

In this paper, we aim to study a stochastic process from a macro point of view, and thus periodic solution of a stochastic process in distributional sense is introduced. We first g…

math.PR2018

The effect of noise intensity on stochastic parabolic equations

Guangying Lv, Hongjun Gao, Jinlong Wei +1

In the present paper, the effect of noise intensity on stochastic parabolic equations is discussed. We focus on the effect of noise on the energy solutions of the stochastic parabo…

math.PR2017★ 1 cited

Schauder estimates for stochastic transport-diffusion equations with Lévy processes

Jinlong Wei, Jinqiao Duan, Guangying Lv

We consider a transport-diffusion equation with Lévy noises and Hölder continuous coefficients. By using the heat kernel estimates, we derive the Schauder estimates for the mild so…

math.PR2017★ 1 cited

Morrey-Campanato estimates for the moments of stochastic integral operators and its application to SPDEs

Guangying Lv, Hongjun Gao, Jinlong Wei +1

In this paper, we are concerned with the estimates for the moments of stochastic convolution integrals. We first deal with the stochastic singular integral operators and we aim to…

math.PR2017★ 1 cited

Well-posedness of nonlinear transport equation by stochastic perturbation

Jinlong Wei, Rongrong Tian, Guangying Lv

We are concerned with multidimensional nonlinear stochastic transport equation driven by Brownian motions. For irregular fluxes, by using stochastic BGK approximations and commutat…

math.PR2016

Limit Theorems Associated With The Pitman-Yor Process

Shui Feng, Fuqing Gao, Youzhou Zhou

The Pitman-Yor process is a random discrete measure. The random weights or masses follow the two-parameter Poisson-Dirichlet distribution with parameters . The paramet…

math.PR2015★ 20 cited

Subgeometric rates of convergence for Markov processes under subordination

Chang-Song Deng, René L. Schilling, Yan-Hong Song

We are interested in the rate of convergence of a subordinate Markov process to its invariant measure. Given a subordinator and the corresponding Bernstein function (Laplace expone…

math.PR2015

Moderate deviations for a fractional stochastic heat equation with spatially correlated noise

Yumeng Li, Ran Wang, Nian Yao +1

In this paper, we study the Moderate Deviation Principle for a perturbed stochastic heat equation in the whole space $\rr^d, d\ge1$. This equation is driven by a Gaussian noise, wh…

math.PR2013

On geometric and algebraic transience for discrete-time Markov chains

Yong-Hua Mao, Yan-Hong Song

General characterizations of ergodic Markov chains have been developed in considerable detail. In this paper, we study the transience for discrete-time Markov chains on general sta…