Scattering for the focusing \(\dot H^{1/2}\)-critical Hartree equation in energy space

DOI10.1016/j.na.2010.04.033zbMath1193.35207OpenAlexW2093702963MaRDI QIDQ984073

Haigen Wu, Yanfang Gao

Publication date: 13 July 2010

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.2010.04.033

zbMATH Keywords

scatteringblow-upprofile decompositionHartree equation

Mathematics Subject Classification ID

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

Related Items (7)

Blow-up for the focusing \(\dot H^{1/2}\)-critical Hartree equation with radial data ⋮ A new proof of scattering for the 5D radial focusing Hartree equation ⋮ Focusing nonlinear Hartree equation with inverse‐square potential ⋮ Sharp weighted Strichartz estimates and critical inhomogeneous Hartree equations ⋮ Scattering versus blow-up for the focusing \(L^2\) supercritical Hartree equation ⋮ Scattering versus blowup beyond the mass-energy threshold for the Davey-Stewartson equation in \(\mathbb{R}^3\) ⋮ Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data

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