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

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

We study the L 2 -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...

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Veröffentlicht in:Acta Mathematicae Applicatae Sinica 2023, Vol.39 (1), p.202-210
Hauptverfasser: Wang, Cheng-lin, Zhang, Jian
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Bose-Einstein condensates
Confinement
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Schrodinger equation
Theoretical
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Zusammenfassung:We study the L 2 -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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-023-1035-x