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Selected Publications:
- Geng,J.,You,J. and Zhao,Z.,
Localization in one-dimensional quasi-periodic
nonlinear systems, Geom. Funct. Anal.,
24(2014), 116-158
- Geng,J. and Zhao, Z., Quasi-periodic
solutions for one-dimensional nonlinear lattice Schrodinger equation
with tangent potential, SIAM J. Math. Anal., 45(2013), 3651-3689
- Geng,J. and You,J., A KAM theorem for higher dimensional nonlinear
Schrodinger equation, J. Dynam.
Differential Equations, 25(2013), 451-476
- Geng, J. and Xu, X.,
Almost periodic solutions of one dimensional
Schrodinger equation with the external parameters, J. Dynam. Differential Equations, 25(2013), 435-450
- Geng, J. and Wu, J., Real
analytic quasi-periodic solutions for the derivative nonlinear
Schrodinger equation, J. Math. Phys., 53(2012), 102702, 27 pp.
- Geng, J., Invariant
tori for full dimension for a nonlinear Schrodinger equation, J.
Differential Equations, 252(2012), 1-34
- Geng,J., Xu,X. and You,
J., An infinite dimensional KAM theorem and
its application to the two dimensional cubic Schrodinger equation,
Adv. Math., 226(2011), 5361-5402
- Geng, J. and You, J., KAM tori for higher dimensional beam
equation with constant potential, Nonlinearity, 19(2006), 2405-2423
- Geng,J.and You, J., A KAM theorem for
Hamiltonian partial differential eqautions in higher dimensional spaces,
Commun. Math. Phys., 262(2006), 343-372
- Geng,J. and You, J., A KAM theorem
for one dimensional Schrodinger equation with periodic boundary
conditions, J. Differential Equations, 209(2005), 1-56
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