Nonlinear Schrdinger equations on compact Zoll manifolds with odd growth Nonlinear Schrdinger equations on compact Zoll manifolds with odd growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Nonlinear Schrdinger equations on compact Zoll manifolds with odd growth

作者姓名：	YANG JianWei

作者单位：	The Graduate School of China Academy of Engineering Physics

基金项目：	supported by National Natural Science Foundation of China(Grant Nos.11171033 and 11231006)

摘要：	We study nonlinear Schr¨odinger equations on Zoll manifolds with nonlinear growth of the odd order.It is proved that local uniform well-posedness are valid in the Hs-subcritical setting according to the scaling invariance, apart from the cubic growth in dimension two. This extends the results by Burq et al.(2005) to higher dimensions with general nonlinearities.
关键词：	Schrdinger equations Zoll manifolds Bourgain space
Nonlinear Schrdinger equations on compact Zoll manifolds with odd growth

YANG JianWei.Nonlinear Schrdinger equations on compact Zoll manifolds with odd growth[J].中国科学数学(英文版),2015(5):1023-1046.

Authors:	YANG JianWei;

Institution:	YANG JianWei;The Graduate School of China Academy of Engineering Physics;

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