Global well-posedness and blow-up for the Hartree equation

DOI10.1016/S0252-9602(17)30049-8zbMath1399.35337OpenAlexW2620910152MaRDI QIDQ1752072

Xiaoguang Li, Lingyan Yang, Louis Caccetta, Yong-Hong Wu

Publication date: 25 May 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30049-8

zbMATH Keywords

blow-up solutionHartree equationthreshold criteria

Mathematics Subject Classification ID

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

Related Items (3)

Finite time blow-up for the nonlinear Schrödinger equation in trapped dipolar quantum gases with arbitrarily positive initial energy ⋮ Below and beyond the mass-energy threshold: scattering for the Hartree equation with radial data in \(d \ge 5\) ⋮ Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities

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