\(L^2\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations

DOI10.1016/J.JMAA.2011.03.063zbMath1216.35144OpenAlexW2094078286MaRDI QIDQ536256

Zu Han Liu, Zhong-Xue Lü

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.063

zbMATH Keywords

blow-up ratenonlinear Schrödinger equations\(L^2\)-concentration

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (8)

Scattering for a 3D coupled nonlinear Schrödinger system ⋮ Optimal bilinear control of the coupled nonlinear Schrödinger system ⋮ Blow-up solutions to nonlinear Schrödinger system at multiple points ⋮ Weak concentration and wave operator for a 3D coupled nonlinear Schrödinger system ⋮ L^2-concentration for a coupled nonlinear Schrödinger system ⋮ Critical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations ⋮ Concentration of blow-up solutions for the coupled Schrödinger equations in \(\mathbb{R}^2\) ⋮ Uniqueness of minimal blow-up solutions to nonlinear Schrödinger system

Cites Work

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• L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Mathematical analysis of the collapse in Bose-Einstein condensate
• Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations

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