研究方向
微分算子谱理论
教育背景
2010.09 - 2012.06
bat365正版唯一官网
硕士
2012.09 - 2015.06
bat365正版唯一官网
博士
工作经历
2015.09 - 今
bat365正版唯一官网
讲师
2017.09-2018.08 维也纳大学数学系 访问学者
教学工作
科研工作
基金项目
身份
2017.01-2019.12
国家自然科学基金青年科学基金项目-具有测度系数的Sturm-Liouville算子的谱性质
负责人
主要荣誉
学术兼职
其它
发表论文
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1.Yixuan Liu, Guoliang Shi and Jun Yan, An inverse problem for non-selfadjoint Sturm–Liouville operator with discontinuity conditions inside a finite interval, Inverse Problems in Science and Engineering, 27(2019),407-421
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2.Jun Yan, Dependence of Eigenvalues on the Diffusion Operators with Random Jumps from the Boundary, J. Differential Equations, DOI:10.1016/j.jde.2018.10.037.
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3.Jun Yan and Guoliang Shi, Multiplicities of Eigenvalues of the Diffusion Operator with Random Jumps from the Boundary, Bull. Austral. Math. Soc., 99(2019),101-113
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4.Jia Zhao, Guoliang Shi, and Jun Yan, The discrete spectrum of Schrödinger operators with δ-type conditions on regular metric trees, J. Spectr. Theory 8(2018) 459-491.
5.Jia Zhao, Guoliang Shi, and Jun Yan, Discreteness of Spectrum for Schrödinger Operators with δ’-Type Conditions on Infinite Regular Trees, Proc. Roy. Soc. Edinburgh Sect. A 147 (2017) 1-27.
6.Jun Yan, Guoliang Shi, Spectral properties of Sturm-Liouville operators with local interactions on a discrete set, J. Differential Equations 257 (2014) 3423-3447.
7.Jun Yan, Guoliang Shi, Inequalities among eigenvalues of Sturm-Liouville problems with distribution potentials, J. Math. Anal. Appl. 409 (2014) 509-520.