[1] Global well-posedness and scattering for the defocusing cubic Schr{\"o}dinger equation on waveguide $\mathbb{R}^2 \times \mathbb{T}^2$,Journal of Hyperbolic Differential Equations, Vol. 16, No. 1 (2019) 1-57.
[2] On scattering for the defocusing high dimensional inter-critical NLS (joint with C. Gao),Journal of Differential Equations, Volume 267, Issue 11, 15 November 2019, Pages 6198-6215.
[3] On scattering for the defocusing quintic nonlinear Schr\"odinger equation on the two dimensional cylinder (joint with X. Cheng and Z. Guo),SIAM Journal on Mathematical Analysis, 52 (2020), no. 5, 4185-4237.
[4] Well-posedness for energy-critical NLS on waveguide manifold} (joint with X. Cheng and J. Zheng),Journal of Mathematical Analysis and Applications, Volume 494, Issue 2, 15 February 2021.}
[5] On scattering for the defocusing nonlinear Schr{\"o}dinger equation on waveguide $ \mathbb{R}^m \times \mathbb{T}$ (when $m=2,3$),Journal of Differential Equations, Volume 275, 25 February 2021, Pages 598-637.
[6] Decay estimates for nonlinear Schr\"odinger equations, (joint with C. Fan),Discrete and Continuous Dynamical Systems-A, Doi: 10.3934/dcds.2021024. (arXiv: 2007.04491).
[7] Global well-posedness for the focusing, cubic NLS on product space $\mathbb{R} \times \mathbb{T}^3$, (joint with X. Yu and H. Yue),SIAM Journal on Mathematical Analysis, Vol. 53, Issue. 2; Pages. 2243-2274.
[8] Long time dynamics for defocusing cubic NLS on three dimensional product space, (joint with J. Zheng),SIAM Journal on Mathematical Analysis, Vol. 53, No. 3, pp. 3644--3660.
[9] Global estimates for the Hartree-Fock-Bogoliubov Equation, (joint with J. Chong, M. Grillakis and M. Machedon),Comm. in PDE., 46 (2021), no. 10, 2015–2055. (arXiv: 2008.01753)
[10]Dynamical Hartree-Fock-Bogoliubov approximation of interacting Bosons, (joint with J. Chong),Ann. Henri Poincar\'e, 23 (2022), no. 2, 615–673. (arXiv: 1711.00610)
[11] A note on decay property of nonlinear Schr\"odinger equations (joint with C. Fan),Proceedings of AMS. (Doi:10.1090/proc/16296)
[12] On the decay property of cubic fourth order Schr\"odinger equation (joint with X. Yu and H. Yue),Proceedings of AMS. (Doi:10.1090/proc/16325)
[13] On scattering asymptotics for the 2D cubic resonant system (joint with K. Yang),Journal of Differential Equations, Vol. 345, 5 February 2023, Pages 447-484. (arXiv:2207.01185)
[14] Dynamics of subcritical threshold solutions for energy-critical NLS (joint with Q. Su),Dynamics of Partial Differential Equations, Vol. 20, No. 1 (2023), pp. 37-72. (arXiv: 1811.07239)
暂未发表的结果:
[15] On long time behavior for stochastic nonlinear Schr\"odinger equations with a multiplicative noise, (joint with C. Fan), arXiv: 2010.11045..
[16] Long time behavior of stochastic NLS with a small multiplicative noise (joint with C. Fan and W. Xu), arXiv: 2111.07212.
[17] Global well-posedness and scattering for fourth order Schr\"odinger equation on waveguide manifold (joint with X. Yu and H. Yue), arXiv: 2111.09651.
[18] Global uniform in $N$ estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the case $\beta<1$ (joint with J. Chong, X. Dong, M. Grillakis and M. Machedon), arXiv: 2203.05447.
[19] On scattering for generalized NLS on waveguide manifolds (joint with Y. Sire, X. Yu and H. Yue), arXiv:2207.00458.
[20] Singular Levy processes and dispersive effects of generalized Schr\"odinger equations (joint with Y. Sire, X. Yu and H. Yue), arXiv preprint (It is a stronger version of arXiv:2207.00485 which incorporates another research note).
[21] On decaying properties of nonlinear Schr\"odinger equations (joint with C. Fan and G. Staffilani), arXiv: 2211.03124.
[22] Global well-posedness for cubic-quintic NLS on tori (joint with Y. Luo, X. Yu and H. Yue), arXiv: 2301.13433.
[23] On Strichartz estimate for many body Schr\"odinger equation in the waveguide setting, arXiv: 2301.13429.
[24] On Strichartz estimate for many body Schr\"odinger equation in the periodic setting (joint with X. Yu and J. Zheng), arXiv preprint
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