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Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential |
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| Authors: | Ji Shu Jian Zhang |
| Institution: | (1) Sichuan Provincial Key Laboratory of Computer Software, Sichuan Normal University, Chengdu, 610066, P. R. China;(2) College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, P. R. China |
| 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. |
| Keywords: | cross-constrained variational problem nonlinear Schodinger equation global existence blow-up harmonic potential |
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