报告人：陈潇（山东大学）   

时间：2021年6月2日15:00开始

腾讯会议ID：949 314 453

摘要:In this talk, we show that, for a Sturm-Liouville equation with a general integrable potential, if its weight is a positive linear combination of $n$ Dirac Delta functions, then it has at most $n$ (may be less than $n$, or even be $0$) distinct real Dirichlet eigenvalues, or every complex number is a Dirichlet eigenvalue; in particular, under some sharp condition, the number of Dirichlet eigenvalues is exactly $n$. Our main method is to introduce the concepts of characteristics matrix and characteristics polynomial for Sturm-Liouville problem with Dirac weights, and put forward a general and direct algorithm used for computing eigenvalues. As an application, a class of inverse Dirichelt problems for Sturm-Liouville equations involving single Dirac distribution weights is studied. It is a joint work with Prof. Jiangang Qi.

简介:陈潇，山东大学威海分校硕士生导师，研究领域为算子代数，抽象调和分析，谱理论。

邀请人：黄辉斥

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