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:
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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