学术报告：A blowing-up solution to some Schroedinger equation with nonlinear amplification

中科院数学与系统科学研究院

数学研究所

调和分析及其应用中心

学术报告会

报告人：Prof. Naoyasu Kita （Faculty of Advanced Science and Technology, Kumamoto University, Japan）

题  目：A blowing-up solution to some Schroedinger equation with nonlinear amplification

时  间：2017.06.06（星期二），10:30-11:30

地  点：南楼902室

Abstarct: In this talk, the existence of a solution blowing up in finite time will be proved for some Schroedinger equation with complex coefficient in its nonlinearity, even if the initial data is as small as we like. When we consider this kind of problem in whole space, the dispersion of the Schroedinger equation always interrupts the blowing-up estimate of the solution. To overcome this difficulty, we first determine a blowing-up profile and next construct the blowing-up solution by attaching perturbation.