Sharp Condition for Global Existence of Supercritical Nonlinear Schrodinger Equation with a Partial Confinement

作     者：Cheng-lin WANG Jian ZHANG Cheng-lin WANG;Jian ZHANG

作者机构：University of Electronic Science and Technology of ChinaChengdu 611731China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2023年第39卷第1期

页      面：202-210页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11871138)。 

主　　题：nonlinear Schrodinger equation Bose-Einstein condensate cross-constrained variational problem global existence sharp condition 

摘      要：We study the L^(2)-supercritical nonlinear Schrodinger equation(NLS) with a partial confinement,which is the limit case of the cigar-shaped model in Bose-Einstein condensate(BEC). By constructing a cross constrained variational problem and establishing the invariant manifolds of the evolution fow, we show a sharp condition for global existence.