数苑经纬讲坛（127）：Construction of Self-Similar Solutions of Dispersive Equations--A scattering-theory approach
来源：
发布时间：2026-11-09
报告时间：- 2026.11.25周三下午3:00-4:00
- 报告地点：
- C410学术报告厅
- 报告人：
- Avraham Soffer
- 报告人单位：
- Rutgers University
- 邀请人：
- 尧小华
- 摘要：
- We construct solutions of Schr\"odinger equations which have asymptotic self-similar solutions as time goes to infinity. Also included are situations with two bubbles. These solutions are global, with constant non-zero L^2 norm, and are stable. As such, they are not of the standard asymptotic decomposition of linear wave and localized waves. Such weakly localized waves were expected in view of previous works on the large time behavior of general dispersive equations. It is shown that one can associate a {scattering channel} to such solutions, with the Dilation operator as the asymptotic "Hamiltonian".
Avraham Soffer （Rutgers University）
