Existence and uniqueness of the global smooth solution to a fractional nonlinear Schrodinger system in atomic Bose-Einstein condensates

Boling Guo; Qiaoxin Li

Volume 5, Number 4, 2015, Pages 793-808 DOI：10.11948/2015060

Existence and uniqueness of the global smooth solution to a fractional nonlinear Schrodinger system in atomic Bose-Einstein condensates

Boling Guo,Qiaoxin Li

Keywords:Fractional Schrodinger equations, the Galerkin method, a priori estimates, global smooth solution

Abstract:

In this paper, the fractional nonlinear Schrodinger equations for atomic Bose-Einstein condensates are studied. By using the Galerkin method and a priori estimates,the existence and uniqueness of global smooth solution are obtained.

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