1.报告题目：Applications of the heat equation to elliptic equations

报告人：李昊宇 博士后（Universidade Federal de São Carlos）

报告时间：10月18日（周五）15：00-16：00

报告地点：腾讯会议：635-671-692

主办单位：数学科学学院 

摘要： In this talk, we first review the application of the heat equation to elliptic equations. Then, we study the coupled Schrödinger system

with n=2,3 and the asymptotically linear problem

based on the heat equation approach. Here, Ω can be either a unit ball or R^n.

报告人简介：李昊宇，目前在Universidade Federal de São Carlos从事博士后研究工作。博士毕业于天津大学应用数学中心，师从王志强教授。之后在大阪大学担任特任研究员。主要研究方向为非线性分析和半线性微分方程。在JFA、JDE、DCDSA等国际著名期刊发表研究论文7篇。

2.报告题目：Asymptotic behaviors of low energy nodal solutions for Lane-Emden problem

报告人：程泽涛 博士后（Okinawa Institute of Science and Technology）

报告时间：10月18日（周五）16：00-17：00

报告地点：腾讯会议：635-671-692

主办单位：数学科学学院

摘要：In this talk, I will introduce our recent work about asymptotic behaviors of low energy nodal solutions for Lane-Emden

equations when the exponent goes to infinity. Asymptotic behaviors of positive solutions have been studied well, but asymp

otic behaviors of nodal solutions is more difficult to study and not much is known. Here we can obtain some results for low 

nergy nodal solutions. The biharmonic case will also be considered. This is based on joint work with Prof. Zhijie Chen and Ha

qing Zhao.

报告人简介：程泽涛 冲绳科学技术大学院大学博士后。博士毕业于清华大学，师从陈志杰教授。主要研究方向是非线性分析及其应用，包括：解的存在性和渐近分析。已经在Calculus of Variations and Partial Differential Equations 发表2篇文章。