Global well-posedness, scattering, and blowup for nonlinear coupled Schrödinger equations in ℝ3

DOI10.1080/00036811.2015.1015523zbMath1334.35195OpenAlexW2060122688WikidataQ58242522 ScholiaQ58242522MaRDI QIDQ2795610

Yushun Xu

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1015523

zbMATH Keywords

well-posednessblow-upinteraction Morawetz estimatenonlinear Schrödinger combined equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

Related Items (5)

Well-posedness issues for a class of coupled nonlinear Schrödinger equations with critical exponential growth ⋮ Coupled nonlinear Schrödinger equations with harmonic potential ⋮ Scattering threshold for a coupled focusing nonlinear Schrödinger system ⋮ Scattering threshold for the focusing coupled Schrödinger system revisited ⋮ Damped non-linear coupled Schrödinger equations

Cites Work

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• Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• Standing waves of some coupled nonlinear Schrödinger equations
• The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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