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Examples on the orbital stability of the semilinear Klein-Gordon equation III

组织者

杜海铭 , 张笑然

演讲者

杜海铭

时间

2025年12月10日 13:30 至 17:30

地点

A3-4-101

线上

Zoom 462 110 5973 (BIMSA)

摘要

This talk we investigate the spectrum of the full linearization at a critical point (typically referring to a soliton) and in what sense this spectrum determines the orbital stability of solutions to the Klein–Gordon equation. A key summarized result in this context is the Hamiltonian–Krein index theorem, which helps us to fully understand the relationship between Hessian, the linearized operator and stability result.