On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data

For the focusing mass-critical nonlinear Schrodinger equation $iu_t+Delta u=-|u|^{4/d}u$, an important problem is to establish Liouville type results for solutions with ground state mass. Here the ground state is the positive solution to elliptic equation $Delta Q-Q+Q^{1+frac 4d}=0$. Previous r...

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Bibliographic Details
Main Authors: Dong Li, Xiaoyi Zhang
Format: Article
Language:English
Published: Texas State University 2009-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/78/abstr.html