Analysis and PDE Seminar——Scattering below the ground state for the three-dimensional focusing energy-critical NLS
报告人：赵泽华（北京理工大学）
时间：2026-10-30 10:30-11:30
地点： 智华楼 四元厅
Abstract: In this talk, we discuss the dynamics of focusing energy-critical NLS based on a recent joint work with Dr. Qingtang Su (CAS). We show global well-posedness and scattering for the 3D focusing energy-critical NLS with initial data below the ground state, which extends the seminal result of Kenig and Merle (Invent. Math., 2006) to the nonradial case. This resolves the ground state scattering conjecture for energy-critical NLS in 3D (三维能量临界聚焦薛定谔方程的基态散射猜想). For a bigger picture, it is expected to provide some clues for Soliton Resolution Conjecture.
