Sharp threshold of global existence for nonlinear Schrödinger equation with partial confinement

DOI10.1016/J.NA.2020.111832zbMath1437.35644OpenAlexW3009267866WikidataQ114146041 ScholiaQ114146041MaRDI QIDQ1988441

Jian Zhang

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111832

zbMATH Keywords

nonlinear Schrödinger equationglobal existencesharp thresholdBose-Einstein condensatepartial confinement

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (4)

Cross-constrained variational method and nonlinear Schrödinger equation with partial confinement ⋮ Sharp condition for global existence of supercritical nonlinear Schrödinger equation with a partial confinement ⋮ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement ⋮ Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation

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