Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential

Authors
Shu, Ji Zhang, Jian
Citation
Shu, Ji et Zhang, Jian, Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential, Acta mathematica Sinica. English series (Print) , 25(4), 2009, pp. 537-544
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
25
Issue
4
Year of publication
2009
Pages
537 - 544
Database
ACNP
SICI code
Abstract
This paper discusses nonlinear Schrödinger equation with a harmonic potential. By constructing a different cross-constrained variational problem and the so-called invariant sets, we derive a new threshold for blow-up and global existence of solutions.