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论文类型：期刊论文

发表时间：2019-01-01

发表刊物：PUBLICATIONES MATHEMATICAE-DEBRECEN

收录刊物：SCIE

卷号：95

期号：1-2

页面范围：205-217

ISSN号：0033-3883

关键字：Schrodinger equations; the harmonic oscillator; normal forms

摘要：We show that the small solution for a type of nonlinear Schrodinger equation with the harmonic potential exists over a longer time interval than the one given by local existence theory. We also get a control of the Sobolev norm of the solution on that time interval. We exploit the structure of nonlinearity to estimate the small divisor and perform a normal form process.