Recent results on stationary nonlinear Schroedinger equations on lattice graphs
数学专题报告
报告题目(Title)：Recent results on stationary nonlinear Schroedinger equations on lattice graphs
报告人(Speaker)：华波波 教授（复旦大学）
地点(Place)：腾讯会议ID：980 008 3315
时间(Time)：2022年12月22日(周四), 14:00-15:00
邀请人(Inviter)：赵亮
报告摘要
We introduce the setting of PDEs on graphs, and the framework for variational methods introduced by Grigor'yan-Lin-Yang. For a locally finite graph with a proper potential, the existence of ground states of stationary nonlinear Schroedinger equations has been proved by Grigor'yan-Lin-Yang, Zhang-Zhao, et al. We report some results on lattice graphs, including the existence results under periodic potentials etc. This is joint work with Wendi Xu.
主讲人简介
华波波，复旦大学数学科学学院教授，曾入选国家高层次人才计划。从事几何分析、偏微分方程、离散几何分析等相关问题的研究。主要研究结果发表在Adv.Math.、Calc.Var.PDEs、J.Reine Angew.Math.、Trans.Amer.Math.Soc.、J.Differential Equations等国际期刊。
