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陕西师范大学数学与统计学院导师教师师资介绍简介-郭永霞

本站小编 Free考研考试/2021-07-04

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基本情况
2015/07-至今,陕西师范大学,数学与信息科学学院,讲师,副教授
2015/07-2018/07,陕西师范大学,计算机科学学院,博士后,合作导师:姚若侠
2012/09-2015/06,陕西师范大学,数学与信息科学学院,博士,导师:魏广生
2009/09-2012/04,南京理工大学,理学院,硕士,导师:杨传富
2005/09-2009/06,山西师范大学,数学与计算机科学学院,学士
代表性学术论文
1. Guo Yongxia, Wei Guangsheng, The sharp conditions of the uniqueness for inverse nodal problems, Journal of Differential Equations, 266, 2019, 4432-4449.

2. Guo Yongxia, Wei Guangsheng,, Inverse problems: dense nodal subset on an interior subinterval, Journal of Differential Equations, 255, 2013, 2002-2017.
3. Guo Yongxia, Wei Guangsheng, Determination of differential pencils from dense nodal subset in an interior subinterval, Israel Journal of Mathematics, 206, 2015, 213-231.
4. Guo Yongxia, Wei Guangsheng, Yao Ruoxia, Uniqueness theorems for the Dirac operator with eigenparameter boundary conditions and transmission conditions, Applicable Analysis, 99,2020,1564-1578.
5. Guo Yongxia, Wei Guangsheng, Inverse scattering problems where the potential is not absolutely continuous on the known interior subinterval, Journal of Mathematical Physics, 59,2018: 012106, 8 pp.
6. Guo Yongxia, Wei Guangsheng, Inverse Sturm-Liouville problems with the potential known on an interior subinterval, Applicable Analysis, 94,2015, 1025-1031.
7. Guo Yongxia, Wei Guangsheng, Inverse problem for differential pencils with incompletely spectral information, Taiwanese Journal of Mathematics, 19, 2015, 927-942.
8. Guo Yongxia, Wei Guangsheng, Yao Ruoxia, Inverse problem for interior spectral data of discontinuous Dirac operator, Applied Mathematics and Computation, 268, 2015, 775-782.
9. Guo Yongxia, Wei Guangsheng, Yao Ruoxia, Inverse problems for Dirac operator with the potential known on an interior subinterval, Analysis and Mathematical Physics, 9, 2019, 155-163.
10. Guo Yongxia, Wei Guangsheng, Yao Ruoxia, An inverse three spectra problem for Sturm-Liouville operators, Boundary Value Problems, 2018, Paper No. 68, 14pp.
11. Guo Yongxia, Wei Guangsheng, Yao Ruoxia, Determination of differential pencils with impulse from interior spectral data, Boundary Value Problems, 2019, Paper No. 151, 21pp.
12. Guo Yongxia, Wei Guangsheng, Inverse nodal problem for Dirac equations with boundary conditions polynomially dependent on the spectral parameter, Results in Mathematics, 67,2015, 95-110.
13. Guo Yongxia, Wei Guangsheng, On the reconstruction of the Sturm-Liouville problems with spectral parameter in the discontinuity conditions, Results in Mathematics, 65, 2014, 385-398.
14. Guo Yongxia, Wei Guangsheng, Inverse scattering problems with the potential known on an interior subinterval, Journal of Mathematical Physics, Analysis, Geometry, 15, 2019, 225-238.
教育科研项目
1.国家自然科学青年基金项目:Sturm-Liouville逆结点问题的适定性研究,2017/01-2019/12.

2.中国博士后基金面上项目:基于混合谱数据Sturm-Liouville逆问题,2017/01-2018/07.
3.陕西省高校科协青年人才托举计划项目:基于混合谱数据的一维Schrodinger算子的重构,2020/01-2021/12.
教育科研奖励
1. 2017年陕西省优秀博士论文.

2. 2020年陕西省数学会青年教师优秀论文奖一等奖.
3. 微分算子谱及反谱理论,2016年陕西高等学校科学技术奖(一等), 第三完成人.
4. 非线性偏微分系统的可积性和不变性及其应用研究,2018年陕西省科学技术奖(二等), 第三完成人.
讲授课程
线性代数、高等数学





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