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徐桂香

教师照片
教师名称 徐桂香
工作单位1(学校) 北京师范大学
工作单位2(院系) 数学科学学院
徐桂香 主要研究领域 分析与偏微分方程
职称 教授
职务 无职务
徐桂香 简介 徐桂香,籍贯江苏泰县,教授,博士生导师。
2000年毕业于南京师范大学信息与计算科学专业,获理学学士学位;
2003年毕业于南京师范大学基础数学专业(导师:张吉慧教授),获理学硕士学位;
2006年毕业于中国工程物理研究院北京研究生部应用数学专业(导师:苗长兴研究员),获理学博士学位,博士论文入选中物院优秀博士论文;
已发表30余篇学术论文。2015年获中物院科技创新奖一等奖(第三完成人)。
徐桂香 代表性学术成果 1. Global solutions of the Klein-Gordon-Schrodinger system with rough data in $R^{2+1}$. (with C. Miao) J. Diff. Equat., 227(2006), 365-405.
2. Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data. (with C. Miao and L. Zhao) J. Funct. Anal. 253(2007), 605-627.
3. Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case. (with C. Miao and L. Zhao) J. Diff. Equat., 246(2009), 3715-3749.
4. Global well-posedness and scattering for the mass-critical Hartree equation with radial data. (with C.Miao and L. Zhao) J. Math. Pures Appl., 91(2009), 49-79.
5. Global well-posedness and uniform bound for the defocusing $H^{1/2}$-subcritical Hartree equation in $R^d$. (with C. Miao and L. Zhao) Ann I. H. Poincare, AN., 26(2009), 1831-1852.
6. Global well-posedness for periodic mass-critical nonlinear Schrodinger equation. (with Y. Li, and Y. Wu) J. Diff. Equat.. 250:6, 15(2011), 2715-2736.
7. Low regularity global solutions for the focusing, mass-critical NLS equation in R. (with Y. Li and Y. Wu), SIAM J. Math. Anal. 43:1 (2011), 322-340.
8. Global well-posedness and scattering for the energy-critical, defocusing Hartree equation in $R^{1+n}$. (with C. Miao and L. Zhao) Comm. PDEs. 36(2011), 1-48.
9. Global well-posedness for Schrodinger equation with derivative in $H^{1/2}(R)$. (with C. Miao, and Y. Wu) J. Diff. Equat. 251(2011), 2164-2195.
10. Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions $d\geq9$, (with C. Miao and L. Zhao) J. Diff. Equat. 251 (2011), 3381-3402.
11. The dynamics of the 3d radial NLS with the combined terms, (with C. Miao and L. Zhao) Comm. Math. Phys., 318:3(2013), 767-808.
12. On the dispersive estimate for the Dirichlet Schrodinger propagator and applications to energy critical NLS, (with D. Li and X. Zhang), Canad. J. Math. 66(2014), 1110-1142.
13. Dynamics for the focusing, energy-critical nonlinear Hartree equation, (with C. Miao and Y. Wu), Forum Math., 27:1(2015), 373-447.
14. Long time dynamics of defocusing energy critical 3+1 dimensional wave equation with potential in the radial case, (with H. Jia and B. Liu), Comm. Math. Phys. 339(2015), 353-384.
15. Generic and non-generic behavior of solutions to defocusing energy critical wave equation with potential in the radial case, (with H. Jia, B. Liu and W. Schlag), Int. Math. Res. Not. IMRN 2017, no. 19, 5977–6035.
16. Stability of the solitary wave for the derivative Schrodinger equation in the energy space (with C. Miao and X. Tang) Calc. Var. Partial Differential Equations, 56(2)(2017), Paper No. 45, 48pp.
17. Solitary waves for nonlinear Schrodinger equation with derivative, (with C. Miao and X. Tang), Commun. Contemp. Math. 20 (2018), no. 4, 1750049, 27 pp.
18. Stability of the sum of two solitary waves for (gDNLS) in the energy space, (with X. Tang) , J. Diff. Equat., 264:6(2018), 4094-4135.
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更新时间 2021-3-15 16:08

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xingo3388
xingo3388发表于:2021-7-21 15:43
讲课是否有帮助:受益匪浅
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思维清晰度:非常清晰
启发性:醍醐灌顶
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互动程度:非常活跃

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