The Nonlinear Schrdinger Equations with Combined Nonlinearities of Power-Type and Hartree-Type  

作　　者：Daoyuan FANG Zheng HAN Jialing DAI 

机构地区：[1]Department of Mathematics, Zhejiang University, Hangzhou 310027, China [2]Department of Mathematics, The University of the Pacific, Stockton, CA 95211, USA

出　　处：《Chinese Annals of Mathematics,Series B》2011年第3期435-474,共40页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.10871175,10931007);the Zhejiang Provincial Natural Science Foundation of China(No.Z6100217)

摘　　要：The primary goal of this paper is to present a comprehensive study of the nonlinear Schrodinger equations with combined nonlinearities of the power-type and Hartreetype. Under certain structural conditions, the authors are able to provide a complete picture of how the nonlinear Schrodinger equations with combined nonlinearities interact in the given energy space. The method used in the paper is based upon the Morawetz estimates and perturbation principles.

关 键 词：Global well-posedness SCATTERING BLOWUP Morawetz estimates Perturbation principles 

分 类 号：TN929.11[电子电信—通信与信息系统] O241.7[电子电信—信息与通信工程]