Yingchao Xie

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All published works

Action	Title	Year	Authors
+ PDF Chat	Averaging principles for time-inhomogeneous multi-scale SDEs via nonautonomous Poisson equations	2024	Xiaobin Sun Jian Wang Yingchao Xie
+ PDF Chat	The first eigenvalue of one‐dimensional elliptic operators with killing	2024	K. Y. Dai Xiaobin Sun Jian Wang Yingchao Xie
+	Quantitative estimates for Lévy driven SDEs with different drifts and applications	2024	Jianhai Bao Xiaobin Sun Jian Wang Yingchao Xie
+	Stochastic Generalized Porous Media Equations Over $$\sigma $$-finite Measure Spaces with Non-continuous Diffusivity Function	2024	Michael Röckner Weina Wu Yingchao Xie
+	Optimal Convergence Rates in the Averaging Principle for Slow–Fast SPDEs Driven by Multiplicative Noise	2024	Ge Yi Xiaobin Sun Yingchao Xie
+	Asymptotic Behavior for Multi-scale SDEs with Monotonicity Coefficients Driven by Lévy Processes	2023	Yinghui Shi Xiaobin Sun Li‐Qiong Wang Yingchao Xie
+	Stochastic 3D Leray-α model with fractional dissipation	2023	Shihu Li Wei Liu Yingchao Xie
+	Strong Averaging Principle for a Class of Slow-fast Singular SPDEs Driven by α-stable Process	2023	Xiaobin Sun Huilian Xia Yingchao Xie Xingcheng Zhou
+ PDF Chat	Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	2023	Wei Liu Michael Röckner Xiaobin Sun Yingchao Xie
+	Orders of strong and weak averaging principle for multi-scale SPDEs driven by α-stable process	2023	Xiaobin Sun Yingchao Xie
+	Phase Transitions for a Class of Time-Inhomogeneous Diffusion Processes	2023	Yao Liu Yingchao Xie Mengge Zhang
+	Poisson Equation and Application to Multi-Scale SDEs with State-Dependent Switching	2023	Xiaobin Sun Yingchao Xie
+	Asymptotic behavior for multi-scale SDEs with monotonicity coefficients driven by Lévy processes	2022	Yinghui Shi Xiaobin Sun Li‐Qiong Wang Yingchao Xie
+	Strong and weak convergence rates for slow–fast stochastic differential equations driven by α-stable process	2021	Xiaobin Sun Longjie Xie Yingchao Xie
+	Stochastic Generalized Porous Media Equations over $\sigma$-finite Measure Spaces with Non-continuous Nonlinearity	2021	Michael Röckner Weina Wu Yingchao Xie
+	Orders of strong and weak averaging principle for multiscale SPDEs driven by $\alpha$-stable process	2021	Xiaobin Sun Yingchao Xie
+ PDF Chat	Strong convergence order for slow–fast McKean–Vlasov stochastic differential equations	2021	Michael Röckner Xiaobin Sun Yingchao Xie
+	Optimal convergence rates in the averaging principle for slow-fast SPDEs driven by multiplicative noise	2021	Ge Yi Xiaobin Sun Yingchao Xie
+	Stochastic Generalized Porous Media Equations over $σ$-finite Measure Spaces with Non-Continuous Diffusivity Function	2021	Michael Röckner Wei-Na Wu Yingchao Xie
+	Orders of strong and weak averaging principle for multiscale SPDEs driven by $α$-stable process	2021	Xiaobin Sun Yingchao Xie
+	Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process	2020	Xiaobin Sun Huilian Xia Yingchao Xie Xingcheng Zhou
+	Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients	2020	Xiaobin Sun Longjie Xie Yingchao Xie
+	Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients	2020	Renming Song Longjie Xie Yingchao Xie
+	Strong and weak convergent rates for slow-fast stochastic differential equations driven by $\alpha$-stable process	2020	Xiaobin Sun Longjie Xie Yingchao Xie
+ PDF Chat	Small time asymptotics for SPDEs with locally monotone coefficients	2020	Shihu Li Wei Liu Yingchao Xie
+	Strong and weak convergence rates for slow-fast stochastic differential equations driven by $α$-stable process	2020	Xiaobin Sun Longjie Xie Yingchao Xie
+	Strong averaging principle for a class of slow-fast singular SPDEs driven by $α$-stable process	2020	Xiaobin Sun Huilian Xia Yingchao Xie Xingcheng Zhou
+	Averaging principle for stochastic 3D fractional Leray-α model with a fast oscillation	2019	Shihu Li Yingchao Xie
+	Derivative formula for the Feynman–Kac semigroup of SDEs driven by rotationally invariant <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e54" altimg="si6.svg"><mml:mi>α</mml:mi></mml:math>-stable process	2019	Xiaobin Sun Longjie Xie Yingchao Xie
+	Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients	2019	Wei Liu Michael Röckner Xiaobin Sun Yingchao Xie
+ PDF Chat	Exponential mixing for SPDEs driven by highly degenerate Lévy noises	2019	Xiaobin Sun Yingchao Xie Lihu Xu
+	Exponential mixing for stochastic 3D fractional Leray-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e48" altimg="si4.gif"><mml:mi>α</mml:mi></mml:math> model with degenerate multiplicative noise	2019	Shihu Li Wei Liu Yingchao Xie
+ PDF Chat	Ergodicity of 3D Leray-α model with fractional dissipation and degenerate stochastic forcing	2019	Shihu Li Wei Liu Yingchao Xie
+ PDF Chat	Large deviations for stochastic 3D Leray-<inline-formula><tex-math id="M1">\begin{document}$ \alpha $\end{document}</tex-math></inline-formula> model with fractional dissipation	2019	Shihu Li Wei Liu Yingchao Xie
+	HEAT KERNEL ESTIMATES FOR DIRICHLET FRACTIONAL LAPLACIAN WITH GRADIENT PERTURBATION	2019	Peng Chen Renming Song Longjie Xie Yingchao Xie
+	Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations	2019	Michael Röckner Xiaobin Sun Yingchao Xie
+	Small Time Asymptotics for SPDEs with Locally Monotone Coefficients	2019	Shihu Li Wei Liu Yingchao Xie
+	Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients	2019	Xiaobin Sun Longjie Xie Yingchao Xie
+ PDF Chat	Smooth densities for SDEs driven by subordinated Brownian motion with Markovian switching	2018	Xiaobin Sun Yingchao Xie
+ PDF Chat	Smoothness of density for stochastic differential equations with Markovian switching	2018	Yaozhong Hu David Nualart Xiaobin Sun Yingchao Xie
+	Averaging principle for a class of stochastic differential equations	2018	Wei Liu Xiaobin Sun Yingchao Xie
+	Well-posedness of Stochastic 3D Leray-$\alpha$ Model with Fractional Dissipation	2018	Shihu Li Wei Liu Yingchao Xie
+	Stochastic 3D Leray-$\alpha$ Model with Fractional Dissipation.	2018	Shihu Li Wei Liu Yingchao Xie
+	Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients	2018	Wei Liu Michael Röckner Xiaobin Sun Yingchao Xie
+	Averaging principle for two dimensional stochastic Navier-Stokes equations	2018	Shihu Li Xiaobin Sun Yingchao Xie Ying Zhao
+	Stochastic 3D Leray-$α$ Model with Fractional Dissipation	2018	Shihu Li Wei Liu Yingchao Xie
+	Stochastic porous media equation on general measure spaces with increasing Lipschitz nonlinearities	2017	Michael Röckner Weina Wu Yingchao Xie
+	Existence of Density Functions for the Running Maximum of a Lévy-Itô Diffusion	2017	Yulin Song Yingchao Xie
+ PDF Chat	Stochastic integrals and BDG’s inequalities in Orlicz-type spaces	2017	Yingchao Xie Xicheng Zhang
+	Pathwise uniqueness for a class of SPDEs driven by cylindrical $α$-stable processes	2017	Xiaobin Sun Longjie Xie Yingchao Xie
+	Well-posedness for SDEs driven by different type of noises	2017	Yueling Li Longjie Xie Yingchao Xie
+	Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation	2017	Peng Chen Renming Song Longjie Xie Yingchao Xie
+	Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradient	2017	Renming Song Longjie Xie Yingchao Xie
+	Discrete Truncated Power‐Law Distributions	2016	Hong Zhu Yingchao Xie Maochao Xu
+	Stochastic Porous Media Equation on General Measure Spaces with Increasing Lipschitz Nonlinearties	2016	Michael Röckner Weina Wu Yingchao Xie
+	Stochastic integrals and BDG's inequalities in Orlicz-type spaces	2016	Yingchao Xie Xicheng Zhang
+ PDF Chat	The existence of the density for the solution of stochastic differential equation driven by fractional Brownian motion with Markovian switching	2015	Yingchao Xie Xiaobin Sun
+	Smooth densities for SDEs driven by degenerate subordinated Brownian motion with state-dependent switching	2014	Xiaobin Sun Yingchao Xie
+	Smoothness of density and ergodicity for state-dependent switching diffusions	2014	Yaozhong Hu David Nualart Xiaobin Sun Yingchao Xie
+	Probabilistic approach for semi-linear stochastic fractal equations	2014	Yingchao Xie Qi Zhang Xicheng Zhang
+ PDF Chat	Kolmogorov operator and Fokker–Planck equation associated to a stochastic Burgers equation driven by Lévy noise	2014	Bing Hu Xiaobin Sun Yingchao Xie
+	Smoothness of density for stochastic differential equations with Markovian switching	2014	Yaozhong Hu David Nualart Xiaobin Sun Yingchao Xie
+	Smooth densities for SDEs driven by subordinated Brownian motion with Markovian switching	2014	Xiaobin Sun Yingchao Xie
+	Ergodicity of Stochastic Dissipative Equations Driven by α-Stable Process	2013	Xiaobin Sun Yingchao Xie
+	Fokker–Planck Equations and Maximal Dissipativity for Kolmogorov Operators for SPDE Driven by Lévy Noise	2012	Yueling Li Xiaobin Sun Yingchao Xie
+	Poincaré inequality for linear SPDE driven by Lévy Noise	2010	Yingchao Xie
+	Hyperbolic white noise functional solutions of Wick-type stochastic compound KdV–Burgers equations	2007	Han Xiu Yingchao Xie
+	New solutions for the Wick-type 2-dimensional stochastic compound KdV equations	2006	Bin Chen Yingchao Xie
+	White noise functional solutions of Wick-type stochastic generalized Hirota–Satsuma coupled KdV equations	2005	Bin Chen Yingchao Xie
+ PDF Chat	Convergence of stochastic integrals with respect to Hilbert-valued semimartingales	2005	Yingchao Xie
+	Exact solutions for the Wick-type stochastic 2-dimensional KdV equations with dissipation	2005	Yingchao Xie
+	Exact solutions for Wick-type stochastic coupled Kadomtsev–Petviashvili equations	2005	Bin Chen Yingchao Xie
+	An auto-Bäcklund transformation and exact solutions of stochastic Wick-type Sawada–Kotera equations☆	2004	Bin Chen Yingchao Xie
+	Exact solutions for Wick-type stochastic coupled KdV equations	2004	Yingchao Xie
+	Exact solutions for generalized stochastic Wick-type KdV–mKdV equations☆	2004	Bin Chen Yingchao Xie
+	An auto-Bäcklund transformation and exact solutions for Wick-type stochastic generalized KdV equations	2004	Yingchao Xie
+	Exact solutions of the Wick-type stochastic Kadomtsev–Petviashvili equations	2004	Yingchao Xie
+	On the Estimations of Smooth Densities for Integro-differential Operators	2004	Yingchao Xie
+	Vague Convergence of Semimartingale Random Measures	2004	Yingchao Xie
+	Positonic solutions for Wick-type stochastic KdV equations	2003	Yingchao Xie
+	Exact solutions for stochastic mKdV equations	2003	Yingchao Xie
+	Exact solutions for stochastic KdV equations	2003	Yingchao Xie
+	Φ′-VALUED MARTINGALE MEASURES AND THEIR LIMIT THEOREMS<sup>*</sup>	2001	Yingchao Xie
+	Weak convergence of hilbert valued martingale measures	1997	Yingchao Xie
+	Limit theorems of Hilbert valued semimartingales and Hilbert valued martingale measures	1995	Yingchao Xie
+	Vague convergence of locally integrable martingale measures	1994	Yingchao Xie

Common Coauthors

Coauthor	Papers Together
Xiaobin Sun	34
Longjie Xie	12
Shihu Li	11
Michael Röckner	10
Wei Liu	9
Bin Chen	5
Xiaobin Sun	5
Weina Wu	4
Renming Song	4
Yaozhong Hu	3
David Nualart	3
Xicheng Zhang	3
Huilian Xia	3
Xingcheng Zhou	3
Wei Liu	2
Yueling Li	2
Yinghui Shi	2
Ge Yi	2
Li‐Qiong Wang	2
Maochao Xu	1
Jianhai Bao	1
Hong Zhu	1
Peng Chen	1
Ying Zhao	1
Mengge Zhang	1
Peng Chen	1
Jian Wang	1
Jian Wang	1
Wei Liu	1
Wei Liu	1
Yao Liu	1
Yulin Song	1
Jian Wang	1
Bing Hu	1
Qi Zhang	1
Han Xiu	1
Wei-Na Wu	1
Lihu Xu	1
K. Y. Dai	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Averaging principle for one dimensional stochastic Burgers equation	2018	Zhao Dong Xiaobin Sun Hui Xiao Jianliang Zhai	18
+	Strong and weak orders in averaging for SPDEs	2012	Charles-Édouard Bréhier	16
+ PDF Chat	A Khasminskii type averaging principle for stochastic reaction–diffusion equations	2009	Sandra Cerrai	15
+	Averaging Principle for Nonautonomous Slow-Fast Systems of Stochastic Reaction-Diffusion Equations: The Almost Periodic Case	2017	Sandra Cerrai Alessandra Lunardi	13
+	Average and deviation for slow–fast stochastic partial differential equations	2012	W. Wang A. J. Roberts	13
+	Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients	2019	Wei Liu Michael Röckner Xiaobin Sun Yingchao Xie	12
+	Averaging Principle for Systems of Reaction-Diffusion Equations with Polynomial Nonlinearities Perturbed by Multiplicative Noise	2011	Sandra Cerrai	12
+	Averaging Principle for Multiscale Stochastic Klein–Gordon-Heat System	2019	Peng Gao	12
+	White Noise Driven Korteweg–de Vries Equation	1999	Anne de Bouard Arnaud Debussche Yoshio Tsutsumi	11
+	Exact solutions for stochastic KdV equations	2003	Yingchao Xie	11
+	None	1998	Fred Espen Benth Jon Gjerde	11
+	On the Stochastic Korteweg–de Vries Equation	1998	Anne de Bouard Arnaud Debussche	11
+	Numerical simulation of the stochastic Korteweg–de Vries equation	1999	Arnaud Debussche Jacques Printems	11
+	The Stochastic Korteweg–de Vries Equation inL2(R)	1999	Jacques Printems	10
+	Exact solutions for stochastic mKdV equations	2003	Yingchao Xie	10
+ PDF Chat	Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems	2006	Dror Givon Ioannis G. Kevrekidis Raz Kupferman	10
+ PDF Chat	Strong convergence order for slow–fast McKean–Vlasov stochastic differential equations	2021	Michael Röckner Xiaobin Sun Yingchao Xie	9
+	ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS	1991	A. Yu. Veretennikov	9
+ PDF Chat	Averaging principle for stochastic real Ginzburg-Landau equation driven by $ \alpha $-stable process	2019	Xiaobin Sun Jianliang Zhai	9
+	Orders of convergence in the averaging principle for SPDEs: The case of a stochastically forced slow component	2019	Charles-Édouard Bréhier	9
+	Stochastic Equations in Infinite Dimensions	2014	Giuseppe Da Prato Jerzy Zabczyk	8
+	A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients	2001	Ming L. Wang Yueming Wang	8
+	Averaging principle for slow–fast stochastic Burgers equation driven by <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e27" altimg="si4.svg"><mml:mi>α</mml:mi></mml:math>-stable process	2019	Yalan Chen Yinghui Shi Xiaobin Sun	8
+ PDF Chat	Structural properties of semilinear SPDEs driven by cylindrical stable processes	2009	Enrico Priola Jerzy Zabczyk	8
+	Averaging Principle for the Higher Order Nonlinear Schrödinger Equation with a Random Fast Oscillation	2018	Peng Gao	8
+	Positonic solutions for Wick-type stochastic KdV equations	2003	Yingchao Xie	7
+ PDF Chat	On Poisson equation and diffusion approximation 2	2003	Étienne Pardoux A. Yu. Veretennikov	7
+ PDF Chat	Strong Convergence Rate for Two-Time-Scale Jump-Diffusion Stochastic Differential Systems	2007	Dror Givon	7
+ PDF Chat	Averaging principle for a class of stochastic reaction–diffusion equations	2008	Sandra Cerrai Mark Freidlin	7
+ PDF Chat	Stochastic averaging for a class of two-time-scale systems of stochastic partial differential equations	2017	Bin Pei Yong Xu George Yin	6
+	Stochastic averaging principle for systems with pathwise uniqueness	1995	J. Golec	6
+ PDF Chat	Analysis of an HMM Time-Discretization Scheme for a System of Stochastic PDEs	2013	Charles-Édouard Bréhier	6
+	Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients	2020	Xiaobin Sun Longjie Xie Yingchao Xie	6
+ PDF Chat	Stochastic 2D Hydrodynamical Type Systems: Well Posedness and Large Deviations	2009	Igor Čhuešhov Annie Millet	6
+	Asymptotic Methods in the Theory of Non-Linear Oscillations	1961	N. N. Bogoli︠u︡bov Y. A. Mitropolski	6
+	Strong convergence in stochastic averaging principle for two time-scales stochastic partial differential equations	2011	Hongbo Fu Jicheng Liu	6
+	Averaging principle for stochastic Korteweg-de Vries equation	2019	Peng Gao	6
+	An auto-Backlund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications	2002	Ming L. Wang Yueming Wang Yubin Zhou	6
+	Irreducibility and Exponential Mixing of Some Stochastic Hydrodynamical Systems Driven by Pure Jump Noise	2016	Pani W. Fernando Erika Hausenblas Paul André Razafimandimby	5
+	Stochastic Equations in Infinite Dimensions	1992	Guiseppe Da Prato Jerzy Zabczyk	5
+	Large deviations and approximations for slow–fast stochastic reaction–diffusion equations	2012	Wei Wang A. J. Roberts Jinqiao Duan	5
+	Exact solutions of the Wick-type stochastic Kadomtsev–Petviashvili equations	2004	Yingchao Xie	5
+	Strong and weak convergence in the averaging principle for SDEs with Hölder coefficients	2019	Michael Röckner Xiaobin Sun Longjie Xie	5
+	On Averaging Principles: An Asymptotic Expansion Approach	2004	R. Z. Khas’minskiĭ George Yin	5
+ PDF Chat	Strong solutions of stochastic equations with singular time dependent drift	2004	Н. В. Крылов Michael Röckner	5
+	Asymptotic Methods in the Theory of Nonlinear Oscillations	1961	N. N. Bogolyubov Yu. A. Mitropol’skii	4
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	4
+	DERIVATIVE FORMULA AND APPLICATIONS FOR HYPERDISSIPATIVE STOCHASTIC NAVIER–STOKES/BURGERS EQUATIONS	2012	Feng‐Yu Wang Lihu Xu	4
+	An auto-Bäcklund transformation and exact solutions for Wick-type stochastic generalized KdV equations	2004	Yingchao Xie	4
+	Introduction to Multidimensional Integrable Equations	1992	B. G. Konopelchenko	4