个人简介

天津理工大学数学科学学院副教授，硕士生导师。2018年博士毕业于北京交通大学，同年入职天津理工大学，数学系教师。研究方向为椭圆和抛物型偏微分方程理论及其应用，在弱正则数据下具标准或非标准增长条件的椭圆和抛物方程解的正则性研究方面取得了一些研究成果，近期研究尤其涉及椭圆和抛物双相方程和变分不等式的边界正则性问题。主持并完成国家自然科学基金青年基金项目1项。已在《Advances in Nonlinear Analysis》《Journal of Differential Equations》《Journal of Mathematical Analysis and Applications》《Nonlinear Analysis》等权威数学期刊上发表SCI研究论文20余篇. 多次受邀参加京津冀数学研讨会, 并作以“高阶椭圆和抛物方程解的正则性研究”, “几类非线性椭圆和抛物方程解的Calderon-Zygmund 估计”和“非一致抛物方程分布解的Calderon-Zygmund型估计” 为题的口头报告. 指导数学专业硕士研究生5名, 其中3名已取得理学硕士学位.

研究领域

微分方程理论及其应用

科研项目

国家自然科学基金青年基金项目：高阶散度型椭圆和抛物方程解的正则性研究，2020.01至2022.12，主持。

代表论文/期刊

[1]Tian Hong, Zheng Shenzhou*, Gradient estimates for a class of higher-order elliptic equations of p-growth over non-smooth domain, Advances in Nonlinear Analysis, 2024, 13: 20230132.

[2]Tian Hong, Zheng Shenzhou*, Weighted Wp(∙)1,2(Ω)-estimate for fully nonlinear parabolic equations with a relaxed convexity，Mediterranean Journal of Mathematics, 2024, 21(120)：1-25.

[3]Tian Hong, Hao Shuai, Zheng Shenzhou*, Wp(∙)m-estimate for a class of higher-order parabolic equations with partially BMO coefficients, Journal of Partial Differential Equations, 2024, 37(2): 79-114.

[4]Tian Hong, Wang Xue, Zheng Shenzhou*, Gradient estimate in weighted variable exponent Lebesgue spaces for nonlinear parabolic equations, Journal of Partial Differential Equations, 2024, Accept.

[5]Tian Hong, Wang Xue, Applications of the time-averaging method to physics problems, College Physics, 2024, 34(4): 1-5.

[6]Tian Hong, Zheng Shenzhou*, Gradient estimates in anisotropic Lorentz spaces to general elliptic equations of p-growth, Rocky Mountain Journal of Mathematics, 2022, 52(2): 727--748.

[7]Tian Hong, Zheng Shenzhou*, Orlicz estimates for general parabolic obstacle problems of p(x,t)-growth in Reifenberg domains, Electronic Journal of Differential Equations, 2020, 2020 (13): 1--25.

[8]Tian Hong, Zheng Shenzhou*, Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths, Journal of Differential Equations, 2019, 266: 352--405.

[9]Tian Hong*, Zheng Shenzhou*, Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth, Nonlinear Analysis, 2019,180:1--19.

[10] Tian Hong*, Global Lorentz estimates with variable power to linear parabolic integro-differential equations, Nonlinear Analysis, 2019, 178: 282--309.

[11] Tian Hong*, Zheng Shenzhou*, Global weighted Lorentz estimates to nonlinear parabolic equations over nonsmooth domains, Journal of Mathematical Analysis and Applications,2017, 456: 1238--1260. 

[12] Tian Hong*, Zheng Shenzhou*,Uniformly nondegenerate elliptic equations with partially BMO coefffcients in nonsmooth domains, Nonlinear Analysis, 2017,156: 90-110.

奖励与荣誉

 天津理工大学第十八届教师教学基本功竞赛，理科组二等奖，2025年.

 全国大学生数学建模竞赛天津赛区，二等奖，2025年, 指导教师.

 美国大学生数学建模竞赛, 国际二等奖（H奖）, 2025年, 指导教师.