Global smooth solution to a coupled Schr&ouml;dinger system in atomic Bose-Einstein condensates with two-dimensional spaces

Boling GUO; Qiaoxin LI

doi:10.1007/s11464-016-0544-9

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Front. Math. China ›› 2016, Vol. 11 ›› Issue (6) : 1515-1532. DOI: 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 GUO¹ ,
Qiaoxin LI²

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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.

Keywords

Schrödinger equation / Galerkin method / a priori estimate / global smooth solution

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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. Front. Math. China, 2016, 11(6): 1515‒1532 https://doi.org/10.1007/s11464-016-0544-9

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