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...

Full description

Saved in:
Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 39; no. 1; pp. 202 - 210
Main Authors Wang, Cheng-lin, Zhang, Jian
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2023
Springer Nature B.V
EditionEnglish series
Subjects
Applications of Mathematics
Bose-Einstein condensates
Confinement
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Schrodinger equation
Theoretical
global existence
sharp condition
35A15
35Q55
35B30
nonlinear Schrödinger equation
cross-constrained variational problem
Bose-Einstein condensate
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-023-1035-x