Contents Online
Communications in Mathematical Sciences
Volume 14 (2016)
Number 4
Globally smooth solution and blow-up phenomenon for a nonlinearly coupled Schrödinger system in atomic Bose–Einstein condensates
Pages: 1005 – 1021
DOI: https://dx.doi.org/10.4310/CMS.2016.v14.n4.a7
Authors
Abstract
In this paper, we study the nonlinearly coupled Schrödinger equations for atomic Bose–Einstein condensates. By the Galërkin method and a priori estimates, the global existence of a smooth solution is obtained. Under some assumptions of the coefficients and $p$, the blow-up theorem is established.
Keywords
Galërkin method, locally smooth solution, globally smooth solution, a priori estimates, blow-up solution
2010 Mathematics Subject Classification
35E15, 35Q53
Published 5 June 2023