| Global smooth solution to a coupled Schrödinger system in atomic Bose-Einstein condensates with two-dimensional spaces |
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| 引用本文： | Boling GUO,Qiaoxin LI. Global smooth solution to a coupled Schrödinger system in atomic Bose-Einstein condensates with two-dimensional spaces[J]. Frontiers of Mathematics in China, 2016, 11(6): 1515-1532. DOI: 10.1007/s11464-016-0544-9 |
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| 作者姓名： | Boling GUO Qiaoxin LI |
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| 摘 要： |
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Global smooth solution to a coupled Schrödinger system in atomic Bose-Einstein condensates with two-dimensional spaces |
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| Boling Guo,Qiaoxin Li. Global smooth solution to a coupled Schrödinger system in atomic Bose-Einstein condensates with two-dimensional spaces[J]. Frontiers of Mathematics in China, 2016, 11(6): 1515-1532. DOI: 10.1007/s11464-016-0544-9 |
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| Authors: | Boling Guo Qiaoxin Li |
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| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China2. China Academy of Aerospace Aerodynamics, Beijing 100074, China |
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| Abstract: | We obtain the global smooth solution of a nonlinear Schrödinger 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. |
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| Keywords: | Schrödinger equation Galerkin method a priori estimate global smooth solution |
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