个人简介
徐新冬 副教授
2009-2011年在意大利Napoli Federdic II 大学进行博士后研究, 2011年- 任教于东南大学数学系
2003-2009 南京大学数学系研究生
主持 国家自然科学基金青年基金 (执行时间2014-2016)
主持 国家自然科学面上项目 (执行时间2018-2021)
参加若干项自然科学基金
近期论文
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10,Xindong Xu,Jiangong You, Qi Zhou; Quasi-periodic solutions of NLS with Liouvillean Frequencies, To appear in Analysis & PDE
9,Xu, Xindong; Quasi-Periodic Solutions for Fractional Nonlinear Schrödinger Equation.J. Dynam. Differential Equations 30 (2018), no. 4, 1855–1871
8,Xu, Xindong Quasi-periodic solutions for class of Hamiltonian partial differential equations with fixed constant potential,Frontiers of Mathematics in China,Front. Math. China 13 (2018), no. 1, 227–254
7, Xu, Xindong; Zhang, Dongfeng; Full dimension tori of Schrödinger equation. J. Math. Phys. 57 (2016), no. 11, 112702, 17 pp.
6, Wu, Jian; Xu, Xindong A KAM theorem for some partial differential equations in one dimension. Proc. Amer. Math. Soc. 144 (2016), no. 5,
5, Shi, Yanling; Xu, Junxiang; Xu, Xindong On quasi-periodic solutions for generalized Boussinesq equation with quadratic nonlinearity. J. Math. Phys. 56 (2015), no. 2, 022703, 15 pp. 35Q53 (35B15)
4,Procesi, Michela; Xu, Xindong Quasi-Töplitz functions in KAM theorem. SIAM J. Math. Anal. 45 (2013), no. 4, 2148–2181.
3,Geng, Jiansheng; Xu, Xindong Almost periodic solutions of one dimensional Schrödinger equation with the external parameters. J. Dynam. Differential Equations 25 (2013), no. 2, 435–450.
2,Geng, Jiansheng; Xu, Xindong; You, Jiangong An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation. Adv. Math. 226 (2011), no. 6, 5361–5402.
1, Xu, XinDong; Geng, JianSheng KAM tori for higher dimensional beam equation with a fixed constant potential. Sci. China Ser. A 52 (2009), no. 9, 2007–2018.