中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 杨凯（东南大学）
Inviter: 范晨捷
Language: Chinese
Title: Dynamics of NLS near the ground state
Time & Venue: 2026年7月23日（星期四） 16:00-17:00 思源楼S803
Abstract: We consider the Cauchy problem of the energy subcritical and critical NLS with inverse square potential. We classify solutions when the energy is less than or equal to the energy of the ground state in the energy critical case. In the energy subcritical case, we classify all solutions at the ground state threshold level, and the uniqueness of the ground state solution is obtained via a modified shooting method. Further recent joint works will also be mentioned.
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