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张 健 教授:Variational Correlation Between Nonlinear Schrodinger Equations with Differential Potentials

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 张 健 教授,中国电子科技大学
Inviter:
Title:
Variational Correlation Between Nonlinear Schrodinger Equations with Differential Potentials
Time & Venue:
2021.04.19 10:30-11:30 晨兴中心510室
Abstract:
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.

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