科研主页

赵国焕

个人简介

赵国焕，现为中国科学院数学与系统科学研究院副研究员。


教育经历 

2011-2016   北京大学, 理学博士 

2014-2015   华盛顿大学, 交流学生  

2007-2011   南开大学, 理学学士 


工作经历

2022-至今    中国科学院数学与系统科学研究院，副研究员 

2018-2021    比勒菲尔德大学，博士后

2016-2018    中国科学院数学与系统科学研究院，博士后


Further Information

研究领域

随机分析

奇异系数的随机（偏）微分方程，Fokker-Planck-Kolmogorov方程

马氏过程

带跳马氏过程的位势论，热核估计以及相关的分析

学术论文

  1. SDEs with critical time dependent drifts: weak solutions

    with M. Rockner. Bernoulli (to appear)

  2. SDEs with random and irregular coefficients

    Revista Mathematica Iberoamericana (to appear)

  3. Nonlocal elliptic equation in Holder space and the martingale problem

    with C. Ling. Journal of Differential Equations, 314, pp. 653-699, 2022

  4. Supercritical SDEs driven by multiplicative stable-like Lévy processes

    with Z-Q. Chen and X. Zhang. Transactions of the American Mathematical Society, 11, pp. 7621-7655, 2021

  5. Regularity properties of jump diffusions with irregular coefficients

    Journal of Mathematical Analysis and Applications 502(1), 2021

  6. Stochastic Lagrangian path for Leray solutions of 3D Navier-Stokes equations

    with X. Zhang. Communications in Mathematical Physics, 381(2), pp. 491-525, 2021

  7. Lq(Lp)-theory of stochastic differential equation

    with P. Xia, L. Xie and X. Zhang. Stochastic Processes and their Applications, 130(8), pp. 5188-5211, 2020

  8. Moderate maximal inequalities for the Ornstein-Uhlenbeck process

    with C. Jia. Proceedings of the American Mathematical Society, 148, pp. 3607-3615, 2020

  9. Weak uniqueness for SDEs driven by supercritical stable processes with Holder drifts

    Proceedings of the American Mathematical Society, 147, pp. 849--860, 2019

  10. Singular Brownian diffusion processes

    with X. Zhang. Communications in Mathematics and Statistics, 6(4), pp. 533-581, 2018

  11. Conditional limit theorems for critical continuous-state branching processes

    with Y. Ren and T. Yang. Science China Mathematics, 57, pp. 2577–2588, 2014

预印本

  1. Heat kernel and ergodicity of SDEs with distributional drifts

    with X. Zhang.

  2. Dirichlet problem for supercritical nonlocal operators

    with X. Zhang.

  3. Stochastic Lagrangian Flows for SDEs with rough coefficients

  4. On Distribution dependent SDEs with singular drifts

  5. SDEs with critical time dependent drifts: strong solutions

    with M. Rockner.

  6. Dirichlet heat kernel estimates for cylindrical stable process

    with Z-Q. Chen and E. Hu

联系方式

北京市海淀区中关村东路55号，思源楼722

82541214

gzhao@amss.ac.cn

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