CHINESE

Gao Hang

Professor Gao Hang is a professor and a doctorate student supervisor in the School of Mathematics and Statistics of Northeast Normal University. He acts as president assistant and director of the teaching affairs office.

 

His educational background and work experience are as follows:

 

March 1978----Jan. 1982, undergraduate student of the Department of Mathematics of Northeast Normal University

 

Sept. 1986----July 1989, postgraduate student of the Department of Mathematics of Northeast Normal University

 

Feb. 1993----Dec. 1995, doctoral student of Fudan University

 

Aug. 1996----July 1998, post-doctoral student of Jilin University

 

Aug. 1998----Nov. 1998, visiting scholar of Mississippi State University, USA

 

Sep. 2001----March 2002, visiting scholar of Ohio University, USA

 

April 2002----May 2002, visiting scholar of the University of Minnesota, USA

 

Oct. 2003, visiting scholar of Inha University, South Korea

Jan. 1982----July 1986，teaching assistant of the Department of Mathematics of Northeast Normal University

 

Aug. 1986----July 1990，lecturer of the Department of Mathematics of Northeast Normal University

 

Aug. 1990----Nov. 1996，associate professor of the Department of Mathematics of Northeast Normal University

 

Since Dec. 1996，professor of the Department of Mathematics of Northeast Normal University

 

May 1996----May 2002，dean of the Department of Mathematics of Northeast Normal University

 

Since Dec. 2002, presidential assistant and director of teaching affairs office of Northeast Normal University

 

His teaching experiences are as follows:

He teaches the undergraduates Advanced Mathematics, Mathematical Analysis, Advanced Algebra, Mathematical Physics Equation, Real Function Theory, Functional Analysis, Point Set Topology, and Study on Elementary Function.

 

He teaches the postgraduates Sobolev Space, Integral Equations, Elliptic Equation, and Optimal Control Theory.

 

His research projects are as follows:

  1. Optimal Control Theory and Application of Nonlinear Distributed Parameter System, a programmeof National Natural Science Foundation of Chinawith 55,000 RMB. July 1997 ---- Dec. 1999, led by Gao Hang.

 

  1. Optimal Control Theory and Application ofDistributed Parameter System, a programmeof National Natural Science Foundation of China with 130,000 RMB. Jan. 2001 ---- Dec. 2003, led by Gao Hang.

 

  1. ControllabilityTheory of Distributed Parameter System, a programmeof National Natural Science Foundation of China, with 220,000 RMB. Jan. 2005 ---- Dec. 2007, led by Gao Hang.

 

  1. Mathematical Theory of Domain Optimization, a key teacher training programmeof the Ministry of Education, with 60,000 RMB. Jan. 1999 ---- Dec. 2001, led by Gao Hang.

 

  1. ControlTheory and Application of Distributed Parameter System, a programmeof National Natural Science Foundation of China, with 280,000 RMB. Jan. 2008 ---- Dec. 2010, led by Gao Hang.

 

  1. Control Theory of System Governed by Partial Differential Equations, a programmeof Research Fund for the Doctoral Programmeof Higher Education of China, with 60,000 RMB. Jan. 2006 ---- Dec. 2008, led by Gao Hang.

 

  1. Mathematical Theory and Methods in Applied Sciences, a cultivation fund of 2 million RMB for scientific innovation projects during the Eleventh Five-Year Plan Period of Northeast Normal University. 2007---- 2011, led by Gao Hang.

 

  1. Research on Applied Mathematics of Information and Several Major Requirements in the Relevant Fields, a 973 Programme(National Programmeon Key Basic Research Project) numbered as 2011CB808000, and sub programme Analysis and Control of Infinite Dimensional Systems numbered 2011CB808002, with a fund of 500,000 RMB. participated in by Gao Hang.

 

  1. Controllability Theory of Partial Differential Equations System, a programmeof National Natural Science Foundation of China,with 420,000 RMB. Jan. 2012 ---- Dec. 2015, led by Gao Hang.

 

His research achievements are as follows:

  1. Chen Renzhao & Gao Hang, Lyapunov's Stability for Time-Varying Population Systems, Science China, Vol.4 (1990), foreign language edition, Vol. 6 (1990).

 

  1. Gao Hang, Stability of Open-Loop and Closed-Loop Population System, Journal ofSystems Science and Mathematical Sciences, Vol. 1 (1991).

 

  1. Gao Hang, State and Stability of Population System,Acta Mathematica Scientia, Vol. 1 (1992).

 

  1. Gao Hang & Yin Jingxue, On a Class of Anisotropic Diffusion Equation,Journal ofSystems Science and Mathematical Sciences (English edition), Vol. 3 (1995).

 

5．Gao Hang, Optimal Conditions for a Class of Distributed Parameter System, Chinese Science Bulletin, Vol. 17 (1996)，1545-1549, foreign language edition, Vol. 41 (1996),  No. 18, 1501-1505.

 

  1. Gao Hang,A Class of Domain Optimization Problem, Chinese Annals of Mathematics, 18A：5（1997），545-552；Chinese Journal of Contemporary Mathematics, Vol.18 (1997), No. 4, 373-382.

 

7． Yin Jingxue & Gao Hang, Behaviour of Solution to a Degenerate Diffusion Problem, Acta Mathematical Applicatae Sinica, Vol.13 (1997), No.2, 188-195.

 

  1. Gao Hang, Optimality Condition of System Governed by Semilinear Parabolic Equation,Acta Mathematica Sinica, Vol. 4 (1999), 705-714.

 

9． Gao Hang, Zhao Hongliang, On a class of Domain Optimization Problem in Elliptic Boundary Value Problems, Northeast. Math. J., 15(2)1999, 144-152.

 

10．Gao Hang, Li Xunjing, Necessary Conditions for Optimal Control of Elliptic Systems, J. Austral. Math. Soc. Ser. B41 (2000), No.2, 542-567.

 

  1. Gao Hang, Optimality Condition for a Class of Semi-Linear Elliptic Equations, Vol. 2 (2001), 319-332.

 

  1. Wu Zhuoqun, Yin Jingsue, Gao Hang, Optimal Control of Growth Rate for a Class of Population Systems, System Sci. & Comp., Vol.16（2003）No.1, 53—66.
  2. Hang Gao, X.Hou and N.H.Pavel, Optimal Control Problems for a Class of Diffusion Equations, American Romanian Academy Journal, Vol.2002, No.27, 69-74.
  3. Gao Hang, N.H.Pavel, Optimal Control Problems for a Class of Semi-linear Multisolution Elliptic Equations, J.Optim. Theory Appl., 2003.
  4. Gao Hang, N. H. Pavel, Optimal Control and Controllability for a Class of Nonlinear Degenerate Diffusion Equations, Pan-American Mathematical Journal, 2003, No.3.
  5. Hang Gao, Peidong Lei, and Bo Zhang, A Class of Nonlinear Degenerate Integrodifferential Control Systems, SIAM J. Control Optim., Vol.43,（2004）No.3, pp 986—1010.
  6. Yajun Li, Hang Gao, A Domain Optimization Problem With Boundary Penalty Cost Functional, J. Math. Anal. Appl., 301 (2005) 170—186.
  7. Ping Lin, Zhongcheng Zhou and Hang Gao, Exact Controllability of the Parabolic System with Bilinear Control, Applied Mathematics Letter, 19 (2006), 568—575.
  8. Gao Hang, Zhang Bo, Fixed Points and Controllability in Delay System, Fixed Point Theory and Application, 2006, No.3.
  9. 20. Lin Ping, Lei Peidong and Gao Hang, Bilinear Control System With the Reaction-Diffusion Term Satisfying Newton's Law, Z. Angew. Math. Mech. 87(1) (2007), 14-23. (SCI）
  10. Lin Ping, Gao Hang, Liu Xu Some Results on Controllability of a Nonlinear Degenerate Parabolic System by Bilinear Control, J. Math. Anal. Appl., Vol.303 (2007), No.2

22.Liu Xu, Gao Hang, Controllability of a Class of Newtonian Filtration Equations with Control and State Constraints, SIAM Control and Optim., Vol.45 ( 2007), No.6.

  1. Zhou Zhongcheng, Lin Ping, Gao Hang, Some Results on Exact Controllability of Parabolic Systems, Taiwan J. Math., 2008.
  2. Liu Xu, Gao Hang, Lin Ping,Null Controllability of a Cascade System Governed by Degenerate Parabolic Equation,Acta Mathematica Scientia, 2008, 28A (6): 985-996.

25．Lei Peidong, Liu Xu, Gao Hang, Norm Estimates of the Controllability for Heat Equations, Acta Mathematica Sinica, English Series, Aug., 2009, Vol. 25, No.8, pp. 1305-1324.

  1. Shu Luan, Hang Gao and Ping Lin, Optimal Conditions for Boundary Control of Non-Well-Posed Elliptic Equations, Optim. Control Appli. Math., 31 (3):256-272, 2010.
  2. Shu Luan, Hang Gao, Optimal Control of Multisolution Ordinary Differential Equations in the Absence of Convexity, J. Syst. Sci. Complex. (2010) 23:321—333.
  3. Lei Peidong, Gao Hang, Null Controllability of Semilinear Parabolic Equations Via the Bilinear Control, Applied Mathematics Letters, 2010, 23(1), pp.53—57.
  4. Qiang Tao, Hang Gao, Controllability for Parabolic Equations with Nonlinear Memory, Computers and Mathematics with Applications, 61(2011) 538-545.
  5. Hang Gao, Yong Li, Bo Zhang, A Fixed Point Theorem of Krasnoselskii-Schaefer Type and Its Applications in Control and Periodicity of Integral Equations, Fixed Point Theory, 12(2011), No.1, 91-112.
  6. Shu Luan, Hang Gao, Xiaopei Li, Optimal Control Problem for an Elliptic Equation Which Has Exactly Two Solutions, Optim. Control Appl. Meth., 2011; 32:734-747.
  7. Qiang Tao, Hang Gao, Bo Zhang, Approximate Controllability of a Parabolic Equation with Memory, Nonlinear Analysis: Hybrid Systems 6(2012)839-845.
  8. Shu Luan, Hang Gao, Peng Xu, Boundary Control of Non-Well-Posed Elliptic Equation With Nonlinear Neumann Boundary Conditions, Optim. Letters, 2012, 6(4), pp 695-708.
  9. L. Cui, X. Liu and H. Gao, Exact Controllability for a One-dimensional Wave Equation in Non-cylindrical Domains, J. Math. Anal. Appl., 402 (2013), 612-625.

 

His educational theses are as follows:

 

Theses on education:

 

  1. 1. Wu Qiong, Gao Hang, A Review on Victorian Teacher Education Curriculum Standards of Australia, Studies in Foreign Education, No. 39, Vol. 1 (2012), pp. 43—

 

  1. Liu Yichun, Li Guang, Gao Hang, Studies on “U-G-S”Teacher Education ModelFormation, Teacher Education Research, No. 25, Vol. 1 (2013), pp. 61—64.

 

Published teaching materials:

 

  1. Gao Hang, Analysis ---- Middle SchoolMathematics from an Advanced Standpoint, Beijing, Higher Education Press, 2001.

 

  1. Gao Hang, Research on Mathematics Analysis, Beijing, CCRTVU Publishing House, March 2003. Gao Hang, Modern Mathematics and Middle School Mathematics, Beijing, BeijingNormal University Press, 2010.

 

Honours and Awards received:

 

  1. Young Talents withOutstanding Contributions of Jilin Province, Jilin People’s Government, 2000.

 

  1. Experts with Outstanding Contributions of Changchun City, Changchun People’s Government, 2006.

 

  1. Advanced Workers of Educational System in Jilin Province, Jilin Department of Education, 2009.

 

  1. Mathematical Theory of Time-Varying Population System, the second winner of the Third Prize, Award of State Education Commission for Science and Technology Progress, 1993.

 

  1. Discipline Constructionof SystemControl for Partial Differential Equation, the second winner of the Second Prize, Teaching Achievement Award of Jilin Province, 1993.

 

  1. Reform and Practice on Mathematics Course System and Teaching Contents of Normal Universities, the first winner of the FirstPrize, Teaching Achievement Award of Jilin Province.

 

  1. Theory and Practice on Teacher Education Reform and Innovation, SpecialPrize of Teaching Achievement Award of Jilin Province, 2008; the third winner of the Second Prize of the National Teaching Achievement Award.

 

The academic part-time positions he holds are as follows: 

A member of Mathematics Teaching Guidance Committee of the Ministry of Education; secretary-general of Middle School Teacher Cultivation Teaching Guidance Committee of the Ministry of Education; a member of the National Mathematical Modeling Organization Committee of College Students; a member of Mathematical Modeling Organization Committee of China Society for Industrial and Applied Mathematics; deputy director of Chinese Mathematical Teaching Research Association, Deputy Director of Jilin Mathematics Society; deputy director of Jilin Society for Industrial and Applied Mathematics; and deputy chief editor of Journal of Mathematics Education. Moreover, he also does other part-time social work. From June 2009 to June 2010, he undertook the Teacher Education Department’s topic of the Ministry of Education, and worked as a leader of the expert team to develop examination standards for senior middle school teacher qualifications. From June 2010 to December 2011, he undertook the Teacher Education Department’s topic of the Ministry of Education, led the formulation of the mathematics examination syllabus for middle school teacher qualifications and worked as a leader of the mathematics examination questions setting team. From August 2010 to December 2011, he undertook the Teacher Education Department’s topic of the Ministry of Education, and worked as a deputy leader of the expert team to develop standards for the programme of middle school teachers. In May 2012, he undertook the Elementary Education Department’s task of the Ministry of Education, and worked as a member of the expert team to check and approve mathematics teaching materials for junior middle schools.

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