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个人简介

张震球,南开大学数学学院教授,博士生导师。 教育经历 1991年毕业于浙江大学数学系,获理学硕士学位; 1994年毕业于南京大学数学系,获理学博士学位。 科研项目 与非局部方程相关的若干调和分析问题及应用,国家自然科学基金,面上项目,主持。 项目起止年月:2021年01月至 2024年12月。

研究领域

调和分析及其应用, 椭圆型微分方程的边值问题

调和分析及其应用 调和分析:奇异积分算子; Heisenberg群上调和分析; 特殊Hermite函数展开的乘子定理。 偏微分方程:非光滑区域上椭圆型微分方程和方程组的边值问题及正则性。

近期论文

查看导师最新文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

1.Huang Xiaoya; Zhang Zhenqiu;Monotonicity of Solutions for Nonlocal Double Phase Equations in Bounded Domains and Whole Space. Accepted by Frontiers of Mathematics in China. 2.Xiong Qi; Zhang Zhenqiu; Ma Lingwei;Gradient potential estimates in elliptic obstacle problems with Orlicz growth.Calc. Var. Partial Differential Equations, 61(2022),no3.(33 pages). 3.Ma Lingwei; Zhang Zhenqiu;Zhou Feng; Nonlinear Potential Estimates for Generalized Stokes System. Accepted by Mediterranean J. Math. 4.Ma Lingwei; Zhang Zhenqiu;Symmetry and Monotonicity of Positive Solutions to Schrödinger Systems with Fractional p-Laplacian.Applied Math. J. Chinese Univ. Ser.B,37(2022),no.1. 5.Ma Lingwei; Zhang Zhenqiu;Xiong Qi;Higher order fractional differentiability for the stationary Stokes system. Accepted by Acta Mathematica Sinica, English Series 6. Xiong Qi; Zhang Zhenqiu ;Maximum Principles for Nonlocal Double Phase Equations and Monotonicity of Solutions. Mediterranean J. Math. 18(2021) 257 (26 pages). 7. Xiong Qi; Zhang Zhenqiu ; Gradient potential estimates for elliptic obstacle problems. J. Math. Anal. Appl.495(2021),no.1,124698.(32pages). 8. Ma Lingwei; Zhang Zhenqiu;Wolff Type Potential Estimates for Stationary Stokes Systems with Dini-BMO Coefficients. Communications in Contemporary Mathematics. Vol. 23, No. 7 (2021) 2050064 (24 pages) 9. Ma Lingwei; Zhang Zhenqiu;Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains, Discrete & Continuous Dynamical Systems-A. 41(2021),no.2,537-552. 10. Yao Xiao; Zhang Zhenqiu; Fractional Sobolev spaces from a complex analytic viewpoint. J. Funct. Anal. 279 (2020), no. 7, 108651, (27 pages). 11. Ma Lingwei; Zhang Zhenqiu; Monotonicity of positive solutions for fractional p-systems in unbounded Lipschitz domains.Nonlinear Anal.198(2020), 111892, 18 pp 12. Ma Lingwei; Zhang, Zhenqiu; Higher differentiability for solutions of nonhomogeneous elliptic obstacle problems.J. Math. Anal. Appl.479(2019),no.1, 789–816. 13.Ma Lingwei;Zhang Zhenqiu; Xiong Qi;Pointwise estimates for Stokes systems with BMO coefficients in Reifenberg domains. Analysis and Applications 17(2019),no.4 569-596 14. Zhou Feng; Zhang Zhenqiu; Pointwise gradient estimates for subquadratic elliptic systems with discontinuous coefficients. Communications on Pure and Applied Analysis 18(2019),No.6,3137-3160. 15. Ri Chol; Zhang Zhenqiu; Boundedness of Commutators of –Type Calderon-Zygmund Operators on Non-homogeneous Metric Measure Spaces. Chin. Ann. Math. Ser. B 29(2019),No.4, 585-598. 16. Zhou Feng; Zhang Zhenqiu; Ma Lingwei; Potential estimates of superquadratic elliptic systems with VMO coefficients in Reifenberg domains. J. Math. Anal. Appl. 477 (2019), no. 1,805–843. 17. Ma Lingwei; Zhang Zhenqiu. Symmetry of positive solutions for Choquard equations with fractional p-Laplacian.Nonlinear Anal.182 (2019), 248–262. 18. Zhuge Jinping; Zhang Zhenqiu; Green matrices and continuity of the weak solutions for the elliptic systems with lower order terms. Internat. J. Math. 27(2016) no.2,1650010, (34 pages). 19.Ri Chol;Zhang Zhenqiu; Boundedness of θ-type Calderón-Zygmund operators on non-homogeneous metric measure space. Front. Math. China 11(2016),no. 1,141–153. 20. Ri Chol; Zhang Zhenqiu; Boundedness of θ-type Calderón-Zygmund operators on Hardy spaces with non-doubling measures. J. Inequal. Appl.,2015, 2015:323. 21.Wei Wei; Zhang Zhenqiu; Lp resolvent estimates for variable coefficient elliptic systems on Lipschitz domains. Anal. Appl. (Singap.), 13(2015),No6,591–609. 22.Wei Wei; Zhang Zhenqiu; Lp resolvent estimates for constant coefficient elliptic systems on Lipschitz domains.J. Funct. Anal.,267(2014), No. 9,3262–3293. 23.Cheng Meifang; Zhang, Zhenqiu, Strongly singular convolution operators on modulation spaces. Int. J. Wavelets Multiresolut. Inf. Process.,9(2011), No. 5, 759–772. 24. Cheng Mei Fang; Zhang, Zhenqiu ,Boundedness of hypersingular integral operators along homogeneous curves on modulation spaces.(Chinese) Acta Math. Sinica (Chin. Ser.),53 (2010),No.3,531–540. 25. Zhang Zhenqiu;Zheng Shijun;Strichartz estimates and local wellposedness for the Schrödinger equation with the twisted sub-Laplacian. The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis,233–243, Proc. Centre Math. Appl. Austral. Nat. Univ., 44,Austral. Nat. Univ., Canberra. 26. Zhang Zhenqiu;Cheng, Meifang; Lp estimates for singular Radon transforms with rough kernels. Chin. Ann. Math. Ser. B 29(2008),No.2,155–164. 27. Zhang Zhenqiu; Liu Fengjun;L2 estimates for oscillatory singular integral operators with analytic phrases. Science in China Series A, 46(2003), No6.815–823. 28. Müller Detlef; Zhang Zhenqiu,A class of solvable non-homogeneous differential operators on the Heisenberg group. Studia Math. 148(2001). No.1,87–96. 29. Müller Detlef; Zhang Zhenqiu;Local solvability for positive combinations of generalized sub-Laplacians on the Heisenberg group. Proc. Amer. Math. Soc.129(2001) No. 10, 3101–3107. 30. Zhang Zhenqiu;Zheng Weixing; Multiplier theorems for special Hermite expansions on Cn.Science in China Series A, 43(2000) ,no. 7, 685–692.

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