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徐露

发布时间:2018-03-12 10:20    浏览次数:    来源:


 


徐露, 女,1977年生,湖南长沙人。

湖南大学开元棋牌学院教授(Professor, 博士生导师。

研究方向:椭圆偏微分方程,几何分析

通讯地址:湖南省长沙市岳麓区湖南大学南校区开元棋牌

邮政编码:410082

办公室:院楼423

电子邮箱:xulu@hnu.edu.cn

学习经历(Education Experience):

l PhD. 2003-2006, 华东师范大学数学系(Department of Mathematics, East China Normal University,

l M.Sc. 2000-2003, 华东师范大学数学系(Department of Mathematics, East China Normal University

l B.Sc. 1996-2000, 华东师范大学数学系(Department of Mathematics, East China Normal University

其间:

l 2005.09-2006.02, 中国科技大学从事博士论文的撰写工作。

l 2006.03-2006.06, 担任北京清华大学讲座教授王嘉平教授的助教。

工作经历(Professional Experience:

l 2015.04-至今 教授,湖南大学数学研究所(Professor Institute of Mathematics , HuNan University

l 2008.10-2015.03,  副研究员,中国科学院武汉物理与数学研究所(Associate Professor, WIPM, CAS

l 2006.06-2008.09, 助理研究员,中国科学院武汉物理与数学研究所(Research Associate, WIPM, CAS

访问经历 Visiting Experience

l Jan. 2013-Aug. 2014: Prof. GaoYong Zhang, Polytechnic Institute of New York University, USA

l Sep. 2009-Dec. 2009: Prof. Pengfei Guan, Department of Mathematics and Statistics, McGill University, Canada.

研究兴趣 Research Interests:

l Convexity for Nonlinear Partial Differential Equations;

l Non-linear partial differential equations which from some geometric problems such as Monge-Ampere equations

受邀会议十大棋牌游戏排行榜(Invited Talk)

l 2010.6.28-7.3 绍兴 "PDE与几何分析国际会议"

l 2010.7.6-9 华中师范大学 “第七届华东偏微分方程会议”,

l 2010 .7.23--24 上海同济“非线性椭圆与抛物方程国际会议”,

l 2010.11.24-27 厦门大学“非线性分析国际会议暨第十六届全国非线性泛函分析会议”。

l 2012.05.16-20 湖南师范大学“微分几何及非线性偏微分方程国际会议”。

l 2014.4.16 美国俄亥俄州立大学访问报告,报告题目“Brunn-Minkowski不等式及其相关问题”

l 2014.9 广西贺州学院 "微分方程与应用"学术会议

l 2015.1 三亚“几何分析青年论坛”

l 2015.11首都师范大学, 中国数学年会分析组报告人

l 2017.12 南方科技大学反应扩散方程国际会议

l 2018.5.25-28 中国科学院数学与系统科学研究院应用数学研究所,“变分法与偏微分方程青年学术会议”

l 2018.6.22-25 大连理工大学数学科学学院,非线性泛函分析及应用”学术会议

l 2018.6.28-7.1武汉理工大学理学院,偏微分方程及其应用青年学者论坛

l 2018.8.29-9.1 人民大学苏州校区“第四届微分几何与微分方程学术会议

主要学术任职 Academic Service

国家自然科学基金项目评议专家

教育部学位论文评审专家

代表性论著 Selected Publications

l Yong Huang, Changzhen Song and Lu Xu(*), Hadamard variational formulas for p-torsion and p-eigenvalue with applicationsGeometriae Dedicata (2018) DOI: 10.1007/s10711-018-0318-5

l JinJu Xu and Lu Xu (*), Gradient estimates of  mean curvature equations with semi-linear oblique boundary value problems, Proceedings of the American Mathematical Society, 145(8) (2017) 3481-3491.

l Chuanqiang Chen, Lu Xu(*) and DeKai Zhang, The interior gradient estimate of prescribed

Hessian quotient curvature equationsManuscripta Mathematica0(153)(2017) 159-171.

l Qianzhong Ou and Lu Xu(*), Liouville type results of curvature operators of Fuchsian convex surfaces Journal of Mathematical Analysis and Applications,434(2016), 1435-1441.

l Y. Huang, Jiakun Liu, and Lu Xu, On the uniqueness of L_p Minkowski problems: constant p-curvature case in R^3, Advances in Mathematics 281 (2015) 906–927.

l Yong Huang, Lu Xu, Two problems related to prescribed curvature measures, Discrete and Continuous Dynamical Systems - Series A, V.33, N.5, (2013),1975-1986.

l Pengfei Guan, Lu Xu, Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations, Journal fur die reine und angewandte Mathematik reine angew. 680 (2013), 41-67.

l Baojun Bian, Pengfei Guan, Xinan Ma, Lu Xu, A constant rank theorem for quasiconcave so lutions of fully nonlinear partial differential equations, Indiana Univ. Math. J. 60 No. 1 (2011), 101-120.

l Lu Xu, A microscopic convexity theorem of level sets for solutions to elliptic equations, Calc. Var. Partial Differential Equations 40 (2011), no. 1-2, 51-63.

l Pan Liu, Xi-Nan Ma and Lu Xu, A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain,  Adv. Math. 225 (2010), no.3, 1616-1633.

l Yong Huang and Lu Xu, Regularity of radial solutions to the complex Hessian equations, J. Partial Differ. Equ. 23 (2010), no. 2, 147-157.

l Lu Xu, Semi-linear Liouville theorems in the Heisenberg group via vector field methods, J. Differential Equations 247 (2009), no. 10, 2799-2820.

l Yong Huang and Lu Xu, Singularity and decay estimates for the conformal k-Hessian equation via Liouville-type theorems, Arch. Math. (Basel) 93 (2009), no. 2, 175-179.

l Xi-Nan, Ma and Lu Xu, The convexity of solution of a class Hessian equation in bounded convex domain in R^3,  J. Funct. Anal. 255 (2008), no. 7, 1713-1723.

l Huang, Yong; Lu Xu, Hypersurfaces of prescribed k-order mean curvature in exterior domains,  Adv. Nonlinear Stud. 7 (2007), no. 4, 565-577.

l Pan Liu and Lu Xu, A small note on symmetric geodesic curvature on D^2, J. Math. Anal. Appl. 322 (2006), no. 1, 489-494.

主持的科研项目(Research Grants

l 湖南省自然科学基金杰出青年基金(2018JJ1004): (2018.01-2020.12)

l National Natural Science Foundation of China (11771132): (2018.01-2021.12)

l National Natural Science Foundation of China (11371360): Convexities of solution to partial differential equation and their geometric applications(2014.01-2017.12)

l RenCai fund of QingNianCuJinHui, CAS (2013.01-2016.12)

l National Natural Science Foundation of China (10901159, Young Scholars): Convexity of partial differential equations and its applications in free boundary problems (2010.1-2012.12)

l Tianyuan Fund of Mathematics (10826061): Convexity of partial differential equations and its applications(2009.01-2009.12)

讲授课程 Teaching Courses:

l 研究生专业系列课程《偏微分方程》(Partial differential equations

l 数学系本科生专业核心课程《高等代数》(Advanced Algebra

l 几何分析与退化椭圆型方程专题研讨班(2015 4 6 日- 4 24 厦门大学,北大数学中心联合举办)受邀主讲人,课程题目:解和水平集的凸性


 


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