数苑经纬讲坛（126）：Soliton Resolution for Nonlinear Schrödinger Type Equations in the Radial Case
来源：
发布时间：2026-11-09
报告时间：- 2026.11.19周四下午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 consider the Schr\"odinger equation with a general interaction term, which is localized in space, for radially symmetric initial data in n>4 dimensions. The interaction term may be space-time dependent and nonlinear. Assuming that the solution is bounded in H^1(R^n) uniformly in time, we prove soliton resolution conjecture (Asymptotic completeness) by demonstrating that the solution resolves into a smooth and localized part and a free radiation in L^2 norm. Examples of such equations include inter-critical and super-critical nonlinear Schr\"odinger equations, saturated nonlinearities, time-dependent potentials, and combinations of these terms.
Avraham Soffer （Rutgers University）
