报告题目： On an eigenvalue problem and its application

报告简介：A linear eigenvalue problem governed by a second order elliptic equation with separate and general boundary conditions is considered and a new monotonicity result on the principal eigenvalue with respect to the coefficient of the advection term is established. The main approach is based on the functional proposed by Liu and Lou and a key finding lies in the nice properties of the associated Frechet operator when confined at suitable points and function spaces. As an application, this monotonicity result is used to study a class of competitive parabolic systems and the so-called "exclusion principle" is observed in a larger parameter region than several existing works, a nontrivial improvement.

报告人：周鹏，上海师范大学数学系教授。2015年博士毕业于上海交通大学。2015-2017年，受北大西洋数学科学研究联盟（AARMS）资助，在加拿大纽芬兰纪念大学从事博士后研究，合作导师为赵晓强教授。2017年入选上海高校特聘教授（东方学者）。主要研究领域为微分方程和应用动力系统，部分成果发表在JDE, JFA, JMPA, CVPDE，SIAP, SIADS等期刊。

报告时间：2022年1月20日（星期四）下午 15：00-16：00.

报告地点：腾讯会议，ID：762488535

主办单位：扬州大学数学科学学院

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