报告题目：The initial value problem of PI and PII equations

报告人：龙文高 博士（湖南科技大学）

报告时间：5月27日 周四 12：00

报告地点：工西报告厅416

摘要：We consider several special cases of the initial value problem of the first two Painlevé equations, using the method of uniform asymptotics presented by Bassom et al.. A rigorous proof of the eigenvalue phenomenon of PI and PII solutions on the real axis, recently revealed by Bender and Komijani, is given by approximating the Stokes multipliers. Moreover, we classify the real solutions of PI and PII asymptotically with respect to their initial data. Some pictures describing some interesting phenomenon are also to be presented.

报告人简介：龙文高，2017年毕业于中山大学，现为湖南科技大学讲师，主要研究方向为复分析与渐近分析，现在正在研究的问题包括：Painlevé方程的一致渐近分析、Riemann-Hilbert问题与正交多项式的渐近。文章发表在J Approx. Theory等期刊。