Energy critical fourth-order Schrödinger equations with subcritical perturbations

Junyong Zhang, Jiqiang Zheng*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

16 引用 (Scopus)

摘要

In this paper, we study the global well-posedness and scattering theory of an 8-D cubic nonlinear fourth-order Schrödinger equation, which is perturbed by a subcritical nonlinearity. We utilize the strategies in Tao et al. (2007) [16] and Zhang (2006) [17] to obtain when the cubic term is defocusing, the solution is always global no matter what the sign of the subcritical perturbation term is. Moreover, scattering will occur either when the pertubation is defocusing and 1<p<2 or when the mass of the solution is small enough and 1≤p<2.

源语言英语
页(从-至)1004-1014
页数11
期刊Nonlinear Analysis, Theory, Methods and Applications
73
4
DOI
出版状态已出版 - 15 8月 2010
已对外发布

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