报告承办单位: 数学与统计学院

报告内容:  Existence and stability of standing waves to some classes of nonlocal Schrödinger equations

报告人姓名: 刘志苏

报告人所在单位: 中国地质大学（武汉）

报告人职称/职务及学术头衔:教授

报告时间: 2026年1月28日8:00-12:00

报告地点: 长沙理工大学云塘校区理科楼A-212

邀请人：李景

报告摘要: In this talk, we mainly introduce some recent results on the existence of positive solutions to some classes of the nonlocal Schrödinger equations with logarithmic-type convolution. A new variational approach is established, which enables us to study the above problem in the standard Sobolev space. The analysis developed in this talk also allows to investigate a relation between a Riesz-type of nonlocal Schrödinger equations and a logarithmic-type of nonlocal Schrödinger equations. Furthermore, this new approach can provide a new look at the nonlocal Schrödinger equations with logarithmic-type convolution and may have some potential applications in various related problems. Furthermore, we introduce also some stability results to the positive standing wave.

报告人简介: 刘志苏，湖南大学博士，中国地质大学（武汉）教授。研究方向是非局部椭圆偏微分方程中的变分问题以及多智能体系统的集群稳定性问题。作为主要完成人获湖南省自然科学一等奖、三等奖各1项。主持国家面上、青年项目各1项，国家天元、天元访问项目各1项，主持湖南省优秀青年项目等省部级项目5项，在国内外学术刊物上发表论文50余篇，部分研究成果发表在 JDE, Israel J. Math, CVPDE, Nonlinearity, AMPA等刊物上。现为德国Zentralblatt MATH 评论员，美国数学评论员，国际差分方程协会会员。