偏微分方程研讨班:Variational Correlation Between Nonlinear Schrodinger Equations with Differential Potentials

中科院数学与系统科学研究院

数学研究所

偏微分方程研讨班

报告人： 张 健 教授  (中国电子科技大学)

题  目：Variational Correlation Between Nonlinear Schrodinger Equations with Differential Potentials

时  间：2021.04.19（星期一）, 10 :30-11:30

地  点：晨兴中心510室

摘  要：This talk is concerned with several types of nonlinear Schrodinger equations with differential potentials. We first discuss the variational characteristics for the time-independent Schrodinger equations. Then we establish the sharp conditions and sufficient conditions for global existence of the Cauchy problems. Especially, we find the comparison relations between the different ground states. We also obtain the sharp conditions for global existence of two types of Gross-Pitaevskii equations in terms of the related ground states.