Dynamics of the energy critical nonlinear Schrödinger equation with inverse square potential

We consider the Cauchy problem for the focusing energy critical NLS with inverse square potential. The energy of the solution, which consists of the kinetic energy and potential energy, is conserved for all time. Due to the focusing nature, solution with arbitrary energy may exhibit various behavior...

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Bibliographic Details
Main Author: Yang, Kai
Other Authors: Zhang, Xiaoyi (Lecturer in mathematics)
Format: Others
Language:English
Published: University of Iowa 2017
Subjects:
NLS
Online Access:https://ir.uiowa.edu/etd/5685
https://ir.uiowa.edu/cgi/viewcontent.cgi?article=7165&context=etd