Open AccessEXISTENCE OF THE GLOBAL SMOOTH SOLUTION TO A FRACTIONAL NONLINEAR SCHRÖDINGER SYSTEM IN ATOMIC BOSE-EINSTEIN CONDENSATES
Author(s) -
Boling Guo,
Qiaoxin Li
Publication year - 2015
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/2015060
Subject(s) - bose–einstein condensate , uniqueness , nonlinear system , mathematical physics , physics , schrödinger's cat , nonlinear schrödinger equation , a priori and a posteriori , quantum mechanics , mathematical analysis , mathematics , philosophy , epistemology
In this paper, the fractional nonlinear Schrödinger equations for atomic Bose-Einstein condensates are studied. By using the Galërkin method and a priori estimates, the existence and uniqueness of global smooth solution are obtained.
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