Global smooth solution to a coupled Schrodinger system in atomic Bose-Einstein condensates with two-dimensional spaces

Global smooth solution to a coupled Schrodinger system in atomic Bose-Einstein condensates with two-dimensional spaces

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摘要 We obtain the global smooth solution of a nonlinear SchrSdinger equations in atomic Bose-Einstein condensates with two-dimensional spaces. By using the Galerkin method and a priori estimates, we establish the global existence and uniqueness of the smooth solution. We obtain the global smooth solution of a nonlinear SchrSdinger equations in atomic Bose-Einstein condensates with two-dimensional spaces. By using the Galerkin method and a priori estimates, we establish the global existence and uniqueness of the smooth solution.

作者 Boling GUO Qiaoxin LI

机构地区 Institute of Applied Physics and Computational Mathematics China Academy of Aerospace Aerodynamics

出处《Frontiers of Mathematics in China》 SCIE CSCD 2016年第6期1515-1532,共18页 中国高等学校学术文摘·数学（英文）

基金 Acknowledgements This work was supported in part by the National Natural Science Foundation of China （Grant No. 11571254）.

关键词 Schrodinger equation Galerkin method a priori estimate global smooth solution Schrodinger equation, Galerkin method, a priori estimate, global smooth solution

分类号 T [一般工业技术]

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Global smooth solution to a coupled Schrodinger system in atomic Bose-Einstein condensates with two-dimensional spaces

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