Energy criteria of global existence for the coupled nonlinear Schrödinger equations with harmonic potentials

DOI10.1007/S00030-007-7001-0zbMath1143.35366OpenAlexW2021456957MaRDI QIDQ927382

Yunyun Wei, Guanggan Chen

Publication date: 6 June 2008

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-007-7001-0

zbMATH Keywords

global existenceBose-Einstein condensatesnonlinear Schrödinger equationsevolution flows

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Electromagnetic theory (general) (78A25) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (3)

BLOW-UP IN TWO-COMPONENT NONLINEAR SCHRÖDINGER SYSTEMS WITH AN EXTERNAL DRIVEN FIELD ⋮ ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING ⋮ Coupled Nonlinear Schrödinger Equations with a Gauge Potential: Existence and Blowup

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