The Cauchy problem of a focusing energy-critical nonlinear Schrödinger equation

DOI10.1016/j.na.2012.10.023zbMath1259.35189OpenAlexW2040430869MaRDI QIDQ1937580

Jian Zhang, Juan Huang

Publication date: 1 March 2013

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.2012.10.023

zbMATH Keywords

scatteringglobal existenceblowupfocusingenergy-critical

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44)

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Nonlinear Hartree equation in high energy-mass ⋮ Sharp conditions of global existence and scattering for a focusing energy-critical Schrödinger equation

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