Analysis and PDE Seminar——Multi-solitons and blow-up of Hartree equations
报告人：Yutong Wu (Yale University)
时间：2025-05-11 16:00-17:00
地点：智华楼313
Abstract: I will present a series of papers in which we constructed multi-soliton solutions to the Hartree equation in the $L^2$-subcritical (3D) and $L^2$-critical (4D) settings. In these solutions, the soliton centers evolve according to an effective N-body system. This work generalized and improved the 2009 result of Krieger–Martel–Raphaël, which constructed two-soliton solutions for the three-dimensional Hartree equation. In four dimensions, our results further imply the existence of multi-point pseudo-conformal blow-up via the pseudo-conformal symmetry.
