Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 6: 1515 - 1532

DOI: https://doi.org/10.1007/s11464-016-0544-9

RESEARCH ARTICLE

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

  • Boling GUO 1 ,
  • Qiaoxin LI , 2
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  • 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 2. China Academy of Aerospace Aerodynamics, Beijing 100074, China

Received date: 08 May 2015

Accepted date: 09 Apr 2016

Published date: 18 Oct 2016

Copyright

2016 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Schrödinger equation; Galerkin method; a priori estimate; global smooth solution

Cite this article

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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