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

被引：0
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作者：
Cheng-lin Wang
Jian Zhang
机构：
[1] University of Electronic Science and Technology of China,
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2023年 / 39卷
关键词：
nonlinear Schrödinger equation; Bose-Einstein condensate; cross-constrained variational problem; global existence; sharp condition; 35Q55; 35A15; 35B30;
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摘要：
We study the L2-supercritical nonlinear Schrödinger 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 flow, we show a sharp condition for global existence.
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页码：202 / 210
页数：8
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