基本情况

2001年6月毕业于西安交通大学，获应用数学博士学位，2001年9月至2004年10月在西安交通大学应用力学博士后流动站工作，曾多次应邀去台湾中山大学、中科院数学研究所等学术访问. 先后主持完成4项国家自然科学基金面上项目、陕西省自然科学基金和国家博士后基金项目各一项.已发表学术论文80余篇, 主要发表在《Transaction AMS》、《J.Math.Pures Appl.》、《J. Differential Equations》、《J. Funct.Anal.》、《J. London Math.Soc.》、《Math. Nachr.》、《Israel J. Math.》、《Inverse Problems》、《Inverse Problems Imaging》、《J. Math.Phys.》等刊物上.

代表性学术论文

• [1] G Wei, Z Xu, J Sun, Self-adjoint domains of products of differential expressions. Journal of Differential Equations, 2001, 174, 75-90.
  

• [2] Z Xu, G Wei, P Fergola, Maximal accretive realizations of regular Sturm-Liouville operators. Journal of London Mathematical Society, 2002, 66, 175-197.

• [3] G Wei, J Wu, Characterization of left-definiteness of Sturm-Liouville problems. Mathematische Nachrichten, 2005, 278, 932-941.

• [4] G Wei, Z Xu, An expanded Phillips theory and its application for differential operators. Journal of Functional Analysis, 2005, 222, 29-60.

• [5] G Wei, H-K Xu, On the missing eigenvalue problem for an inverse Sturm–Liouville problem. Journal de Mathématiques Pures et Appliquées, 2009, 91, 468-475.

• [6] G Wei, H-K Xu, Inverse spectral problem for a string equation with partial information. Inverse Problems, 2010, 26, 115004(14pp).

• [7] G Wei, H-K Xu, Left-definite problems of regular self- adjoint differential equations of even order. Mathematische Nachrichten, 2011, 284, 381-392.

• [8] G Wei, Z Wei, Inverse spectral problem for Jacobi matrices with partial spectral data. Inverse Problems, 2011, 27, 075007(11pp).

• [9] G Wei, H-K Xu, Inverse spectral problem with partial information given on the potential and norming constants. Transactions of the American Mathematical Society, 2012, 364, 3265-3288.

• [10] Y Guo, G Wei, Inverse problems: dense nodal subset on an interior subinterval. Journal of Differential Equations, 2013, 255, 2002-2017.

• [11] G Wei, H-K Xu, Inverse spectral analysis for the transmission eigenvalue problem. Inverse Problems, 2013, 29, 115012 (24pp).

• [12] Y Guo, G Wei, Determination of differential pencils from dense nodal subset on an interior subinterval. Israel Journal of Mathematics, 2015, 206, 213-231.

• [13] G Wei, H-K Xu, On the missing bound state data of inverse spectral-scattering problems on the half-line. Inverse Problems and Imaging, 2015, 9, 239-255.

• [14] Y Guo, G Wei, The sharp conditions of the uniqueness for inverse nodal problems. Journal Differential Equations. 2019, 266, 4432-4449.

• [15] Y. Bai, G Wei, The local Borg-Marchenko uniqueness theorem for potentials locally smooth at the right endpoint. Integral Equations Operator Theory, 2019, 91, No. 31, 12 pp.

• [16] Z Wei, G Wei, Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media. Inverse Problems, 2020, 36, 035017, 20 pp.

教育科研项目

• 1. 国家自然科学基金 (10771165)，不定型Sturm-Liouville问题谱与逆谱理论，2008.01-2010.12，主持人;
  

• 2. 国家自然科学基金 (11171198)，具有间断点的振动系统的逆谱问题，2012.01-2015.12，主持人；

• 3. 国家自然科学基金 (11571212)，奇异微分算子的反谱与反散射问题，2016.01-2019.12, 主持人；

• 4. 国家自然科学基金（11971284），基于混合谱数据的Krein弦方程的逆问题研究, 2020.01-2023.12，主持人.