兰州大学数学与统计学院     教授   耿俊

研究方向

调和分析、偏微分方程

个人简历

教育经历：
 2000/09--2004/06, 兰州大学, 本科/学士;
 2004/09--2007/07, 兰州大学, 硕士;
 2007/08--2011/08, 美国肯塔基大学，博士

工作经历：
 2011/08--2013/08, 中科院数学所，博士后
 2013/08至今, 兰州大学数学与统计学院, 副教授. 

教学及指导学生情况

发表论文及专著

[1]Geng, Jun W1,p estimates for elliptic problems with Neumann boundary conditions in Lipschitz domains. Adv. Math. 229 (2012), no. 4, 2427–2448. 
[2]Geng, Jun; Shen, Zhongwei; Song, Liang Boundary Korn Inequality and Neumann Problems in Homogenization of Systems of Elasticity. Arch. Rational Mech. Anal. . 224 (2017) 1205–1236. 
[3] Geng, Jun; Shen, Zhongwei Uniform regularity estimates in parabolic homogenization. Indiana Univ. Math. J. 64 (2015), no. 3, 697–733. 
[4]Geng, Jun; Shen, Zhongwei; Song, Liang Uniform W1,p estimates for systems of linear elasticity in a periodic medium. J. Funct. Anal. 262 (2012), no. 4, 1742–1758.
[5]Geng, Jun; Shen, Zhongwei The Neumann problem and Helmholtz decomposition in convex domains. J. Funct. Anal. 259 (2010), no. 8, 2147–2164.
[6]Geng, Jun; Shen, Zhongwei; Convergence rates in parabolic homogenization with time-dependent periodic coefficients. J. Funct. Anal. 272 (2017), no. 5, 2092–2113. 
[7] Geng, Jun Boundary estimates in homogenization of systems of elasticity on Lipschitz domains: Lp theory., J. Differential Equations, 264 (2018), no. 4, 2737–2760.
[8]Geng, Jun；  Kilty, Joel, The Lp regularity problem for the Stokes system on Lipschitz domains. J. Differential Equations 259 (2015), no. 4, 1275–1296.
[9] Geng, Jun Homogenization of elliptic problems with Neumann boundary conditions in non-smooth domains. Acta Math. Sin. (Engl. Ser.) 34 (2018), no. 4, 612–628.(Invited Paper)
 Geng, Jun ; Shi, Bojing, Almost-periodic Homogenization of elliptic problems in non-smooth domains.  Proc. Amer. Math. Soc. (accepted) 

项目成果

1. 国家自然科学基金青年科学基金项目，11201206， 非光滑区域上的椭圆边值问题及齐次化问题， 2013/01-2015/12, 23万元，已结题，主持。
2. 国家自然科学基金面上项目，11571152，几乎周期抛物方程组的均匀化和Lipschitz区域上的高阶抛物方程组，2016/01-2019/12, 50万元，在研，主持。

荣誉、获奖

社会工作

其它信息

作者:耿俊