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Home > About CIM > Faculty > You Jiangong > Content
Jiangong You
2022-09-26 11:07


Jiangong You



Research Interests:

Differential Equations, Dynamical Systems, Dynamics of Hamiltonian PDEs, Spectral Theory of Schrodinger Operators

Education and Working Experience:

1979.9--1983.7: Bachelor's Degree, Dept. of Math., Jiangsu Normal Univ.;

1983.9--1986.7: Master's Degree, Dept. of Math., Nanjing Univ.;

1986.9--1989.7: Ph. D. Degree, Dept. of Math.,Peking Univ.;

1989.7--1991.7: Post-doctor, Nanjing Univ.;

1991.8--1992.2: Lecturer, Nanjing Univ.;

1992.2--1998.1: Associate Professor,Nanjing Univ.;

1994.2--1994.8: Visiting Scholar,Forschungsinstitut fur Mathematik der Eidgenos-sische Technische Hochschule Zurich;

1995.5--1997.6: Humboldt Research Fellow,Universitaet zu Koeln, Technische Universitaet München;

1998.2--1998.8: Visiting Scholar,Terza Università degli Studi di Roma;

1998.2--2016.9: Professor, Nanjing Univ.;

2016.9--present: Professor,Chern Inst. of Math., Nankai Univ.


1.   (with Wang, Jing) Boundedness of solutions for non-linear differential   equations with Liouvillean frequency. J. Differential Equations 261(2016),   no, 2, 1068 – 1098.

2.   (with Zhou, Qi) Simple counter-examples to Kotani-Last conjecture via   reducibility,International Mathematics Research Notices IMRN 2015no. 19,   9450-9455.

3.   (Zhang, Shiwen and Zhou, Qi) Point spectrum for quasi-periodic long range   operators, J. Spectr. Theory 4 (2014), no, 4, 769 – 781.

4.   (with Zhou, Qi) Phase transition and semi-global reducibility. Comm. Math.   Phys. 330 (2014),no. 3, 1095–1113.

5.   (with Zhang, Shiwen) Holder continuity of the Lyapunov exponent for analytic   quasiperiodic Schrodinger cocycle with weak Liouville frequency. Ergodic   Theory Dynam. Systems 34 (2014), no. 4, 1395–1408.

6.   (with Geng, Jiansheng and Zhao, Zhiyan) Localization in one-dimensional   quasi-periodic nonlinear systems. Geom. Funct. Anal. 24 (2014), no. 1,   116–158.

7.   (with Broer, Henk W. and Hanbmann, Heinz) On the destruction of resonant   Lagrangean tori in Hamiltonian systems. Recent trends in dynamical systems,   317–333, Springer Proc. Math. Stat., 35, Springer, Basel, 2013.

8.   (with Wang, Yiqian) Examples of discontinuity of Lyapunov exponent in smooth   quasiperiodic cocycles. Duke Math. J. 162 (2013), no. 13, 2363–2412.

9.   (with Zhou, QiEmbedding   of analytic quasi-periodic cocycles into analytic quasi-periodic linear   systems and its applications. Comm. Math. Phys. 323 (2013), no. 3, 9751005.

10.   (with Wu, Jian) Reducibility of slow quasi-periodic linear systems, Proc.   Amer. Math. Soc. 141(2013), no. 9, 3147 – 3155.

11.   (with X. Hou) Almost reducibility and non-perturbative reducibility of   quasi-periodic linear systems. Invent. Math. 190 (2012), no. 1, 209–260.

12.   (with J. Geng and X. Xu) An infinite dimensional KAM theorem and its   application to the two dimensional cubic Schr?dinger equation. Adv. Math. 226   (2011), no. 6, 5361–5402.

13.   (with J. Xu) Persistence of the non-twist torus in nearly integrable   Hamiltonian systems. Proc. Amer. Math. Soc. 138 (2010), no. 7, 2385–2395.

14.   (with X. Hou) Local rigidity of reducibility of analytic quasi-periodic   cocycles on U(n). Discrete Contin. Dyn. Syst. 24 (2009), no. 2, 441–454.

15.   (with H. He) Full measure reducibility for generic one-parameter family of   quasi-periodic linear systems. J. Dynam. Differential Equations 20 (2008),   no. 4, 831–866.

16.   (with X. Hou) The rigidity of reducibility of cocycles on SO(N ,R).   Nonlinearity 21 (2008), no. 10, 2317–2330.

17.   (with J. Xu) Gevrey-smoothness of invariant tori for analytic nearly   integrable Hamiltonian systems under Rüssmann's non-degeneracy condition. J.   Differential Equations 235 (2007), no. 2, 609–622.

18.   (with J. Geng) KAM Tori for Higher Dimensional Beam Equation with Constant   Potentials, Nonlinearity 19 (2006), no. 10, 2405–2423.

19.   (with R.Cao) The Existence of Integrable Invariant Manifolds of Hamiltonian   Partial Differential Equations, Discrete and Continuous Dynamical Systems 16   (2006), no. 1, 227–234.

20.   (with H. He) An Improved Result for Positive Measure Reducibility of Quasi-   periodic Linear Systems, Acta Mathematica Sinica (English series) 22 (1),   2006, 77-86.

21.   (with J.Geng) A KAM Theorem for Partial Differential Equations in Higher   Dimensional Space, Communications in Mathematical Physics, Vol.262(2), 2006,   343-372.

22.   (with H. Broer and H. Hanssmann) Umbilical Torus Bifurcations in Hamiltonian   Systems, J. Differential Equations, Vol. 222(1), 2006, 233-262.

23.   (with Z. Liang) Quasi-Periodic Solutions for 1D Schrodinger Equations with   Higher Order Nonlinearity, SIAM J. Mathematical Analysis, 36(2005),   1965-1990.

24.   (with H. Broer and H. Hanssmann) Bifurcations of Normally Parabolic Tori in   Hamiltonian Systems, Nonlinearity, 18 (2005) 1735-1769.

25.   (with J. Geng) A KAM Theorem for One Dimensional Schrodinger Equation with   Periodic Boundary Conditions, J. Differential Equations, 209, 2005, 1-56.

26.   (with J. Geng) KAM tori of Hamiltonian perturbations of 1D linear beam   equations, J.Math.Anal.Appl., 277, 2003, 104-121.

27.   (with J. Xu) A Symplectic Map and its Application to the Persistence of Lower   Dimensional InvariantTori, Science in China, 45(5), 2002, 598-603.

28.   (with J. Xu) Persistence of lower dimensional tori under the first Melnikov’s   non-resonance condition, Journal de Mathematiques Pures et Appliquees, 80   (10), 2001, 1045-1067.

29.   KAM theory for lower dimensional tori of nearly integrable Hamiltonian   systems, Progress in Nonlinear Analysis, edited by K-C.Chang and Y. Long,   World Scientific, 2000, 409-423.

30.   (with L. Chierchia) KAM tori for 1D nonlinear wave equations with periodic   boundary conditions, Communications in Mathematical Physics, Vol.211(2),   497-525, 2000.

31.   (with F-Z. Cong, T. Kupper and Y. Li) KAM-type theorem on resonant surfaces   for nearly integrable Hamiltonian systems, J. Nonlinear Science, Vol.10,   49-68, 2000.

32.   Lower dimensional tori of reversible Hamiltonian systems in the resonant   zone, Dynamical Systems, Proceedings of the International Conference in Honor   of Professor Liao Shantao, 9-12, August, 1998. Editors, Yunping Jiang, Lan   Wen, World Scientific, 1999, 301-314.

33.   Perturbations of lower dimensional tori for Hamiltonian systems,   J.Differential Equations, Vol. 152, 1-29, 1999.

34.   (with T. Kupper) Existence of quasiperiodic solutions and Littlewood's   boundedness problem of Duffing equations with subquadratic potentials,   Nonlinear Anal. 35 (1999), no. 5, Ser. A: Theory Methods, 549-559.

35.   A KAM theorem for hyperbolic type degenerate lower dimensional tori in   Hamiltonian systems, Communications in Mathematical Physics, Vol.192,   145-168, 1998.

36.   (with B. Liu) Quasiperiodic solutions of Duffing's Equations, J. Nonlinear   Analysis: TMA, 1998.

37.   (with M. Levi) Oscillatory escape in a Duffing equation with Polynomial   potentials, J. Differential Equations, Vol.140, pp 415-426, 1997.

38.   (with M. Kunze and T. Kupper) On the Application of KAM Theory to   Discontinuous Dynamical Systems, J. Differential Equations, Vol. 139,   pp.1-21, 1997.

39.   (with J. Xu and Q. Qiu) Invariant tori of nearly integrable Hamiltonian   systems with degeneracy, Mathematische Zeitschrift, Vol.226, 375-386, 1997.

40.   (with J. Xu and Q. Qiu) A KAM Theorem of Degenerate Infinite Dimensional   Hamiltonian Systems(III),   Science in China, Vol.39(4), 372-394, 1996.

41.   (with Y. Wang) Boundedness of solutions for time dependent polynomial   potentials with C2 coefficients, Z. Angew. Math. Phys. , Vol. 47, 1996.

42.   (with J. Xu) On reducibility of linear differential equations with almost   periodic coefficients, Chinese Journal of Contemporary Mathematics, Vol.17   (1996), 375-386.

43.   Quasiperiodic solutions for a class of quasiperiodic forced differential   equations, J. Math. Anal. And Appl. Vol.192(3), 1995.

44.   (with B. Liu) Stability of a parabolic fixed point of reversible mappings,   Chin. Ann. of Math. (Series B), Vol. 15(2), 1994, 147-152.

45.   (with D. Qian) Periodic solutions of forced second order equations with the   oscillatory time map, Differential and Integral EquationsVol. 6(4)   793-806, 1993.

46.   Boundedness for solutions of superlinear Duffing's equations via the twist   theorem, Science in China (series A), 35(4), 1992, 399-412.

47.   Boundenness of solutions and quasiperiodic solutions of nonconservative   pendulum systems in a certain class, Chinese Bulletin of Science (Kexue   Tongbao), 36(21), 1991, 1906-1909.

48.   Invariant tori and Lagrange stability of pendulum type equations, J.   Differential Equations, 85(1), 1990, 54-65.


1. The National Science Fund for Distinguished Young Scholars, 1999
2. Excellent Young Scholar Award, Hong Kong QiuShi Science and Technology Foundation, 2000
3. Award for Science and Technology of Chinese University (first class), 2001
4. National Award in Natural Science of China (second class), 2002


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