Jiangong You |
<中文版> |
Professor, Head
Department of Mathematics
Nanjing University
Office: Room 1101, Mengminwei Building
Tel: 0086-25-83595065
Email: 
@nju.edu.cn
Main interests: Differential
Equations and Dynamical Systems
Preprints:
- J. Xu, J. You, A Note on the paper "Invariant tori for
nearly integrable
Hamiltonian systems with degeneracy " in Math. Z., 226,375-387(1997)
- H.He,
J.You, Full
Measure Reducibility for Generic One-Parameter Family of Quasi-Periodic
Linear Systems, preprint , 2004.
- R. Cao, J.
You, Diophantine Vectors in Analytic
Submanifolds of Euclidean Spaces,
preprint, 2005.
- J. Geng,
J. You, KAM Tori for
Higher
Dimensional Beam Equation with Constant Potentials, accepted by Nonlinearity, 2006.
Publications:
- R.Cao, J. You, The Existence of Integrable Invariant Manifolds of Hamiltonian Partial Differential Equations, Discrete and Continuous Dynamical Systems, 16 (2006), no. 1, 227—234.
- H.He,
J.You, An
Improved Result for Positive Measure Reducibility of Quasi- periodic
Linear Systems, Acta Mathematica Sinica (English series) 22 (1), 2006, 77-86
- J.Geng,
J.You, A KAM Theorem for Partial
Differential
Equations in Higher Dimensional Space, Communications in
Mathematical Physics, Vol.262(2),
2006, 343-372.
- H. Broer, H.Hanssmann, J.You, Umbilical Torus Bifurcations in Hamiltonian Systems（PDF）(PS), J. Differential Equations, Vol. 222(1), 2006, 233-262.
- Z.Liang,
J.You, Quasi-Periodic Solutions for 1D
Schrodinger Equations with Higher Order Nonlinearity, SIAM J. Mathematical Analysis,
36(2005), 1965-1990.
- H. Broer, H.Hanssmann, J.You, Bifurcations of Normally Parabolic Tori in Hamiltonian Systems, Nonlinearity, 18 (2005) 1735-1769.
- J.Geng, J.You, A KAM Theorem for One Dimensional Schrodinger Equation with Periodic Boundary Conditions, J. Differential Equations, 209, 2005, 1-56.
- J.Geng, J.You, KAM tori of Hamiltonian perturbations of 1D linear beam equations, J.Math.Anal.Appl., 277, 2003, 104-121.
- J. Xu, J. You, A Symplectic Map and its Application to the Persistence of Lower Dimensional InvariantTori, Science in China, 45(5), 2002,598-603.
- J. Xu, J. You, Persistence of lower dimensional tori under the first Melnikov’s non-resonance condition, Journal de Mathematiques Pures et Appliquees, 80（10），1045-1067，2001.
- J. You，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.
- L. Chierchia, J. You, KAM tori for 1D nonlinear wave equations with periodic boundary conditions, Communications in Mathematical Physics., Vol.211(2), 497-525, 2000.
- F-Z. Cong, T. Kupper, Y. Li, J. You, KAM-type theorem on resonant surfaces for nearly integrable Hamiltonian systems, J. Nonlinear Science, Vol.10, 49-68, 2000.
- J. You, 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.
- J. You, Perturbations of lower dimensional tori for Hamiltonian systems, J.Differential Equations, Vol. 152, 1-29, 1999.
- T. Kupper, J. You, Quasiperiodic solutions and Boundedness of Duffing equations with subquadratic potentials, J. Nonlinear Analysis: TMA, Vol.35,549-559, 1999.
- J. You, A KAM theorem for hyperbolic type degenerate lower dimensional tori in Hamiltonian systems, Communications in Mathematical Physics, Vol.192, 145-168, 1998.
- B. Liu, J. You, Quasiperiodic solutions of Duffing's Equations, J. Nonlinear Analysis: TMA, 1998.
- M. Levi, J. You, Oscillatory escape in a Duffing equation with Polynomial potentials, J. Differential Equations, Vol.140, pp 415-426, 1997.
- M. Kunze,T. Kupper, J. You,, An application of KAM theorem to a non-smoothsystem, J. Differential Equations, Vol. 139, pp.1-21, 1997.
- J. Xu, J. You, Q. Qiu, Invariant tori of nearly integrable Hamiltonian systems with degeneracy, Mathematische Zeitschrift, Vol.226, 375-386, 1997.
- J.Xu, Q.Qiu , J. You, A KAM Theorem of Degenerate Infinite Dimensional Hamiltonian Systems(I，II), Science in China, Vol.39(4), 372-394, 1996.
- Y. Wang, J. You, Boundedness of solutions for time dependent polynomial potentials with C2 coefficients, Z. Angew. Math. Phys. , Vol. 47, 1996.
- J. Xu and J. You, On reducibility of linear differential equations with almost periodic coefficients, Chinese Journal of Contemporary Mathematics, Vol.17 (1996), 375-386.
- J. You, Quasiperiodic solutions for a class of quasiperiodic forced differential equations, J. Math. Anal. and Appl. ，Vol.192(3),1995.
- B.Liu and J. You, Stability of a parabolic fixed point of reversible mappings, Chin. Ann. of Math. (Series B), Vol. 15(2), 1994, 147-152.
- B. Liu and J. You, Quasiperiodic solutions for nonlinear differential equations of second order with symmetry, Acta Math. Sinica (New Series), Vol. 10(3), 1994.
- D. Qian and J.You, Periodic solutions of forced second order equations with the oscillatory time map, Differential and Integral Equations，Vol. 6(4) 793-806, 1993.
- J. You, Boundedness for solutions of superlinear Duffing's equations via the twist theorem, Science in China(series A), 35(4), 1992, 399-412.
- J. You, 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.
- J. You, Invariant tori and Lagrange stability of pendulum type equations, J. Diffential Equations, 85(1), 1990, 54-65.
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