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Scattering for radial bi-harmonic Hartree equations

Analysis of PDEs 2020-10-16 v1

Abstract

This note studies the asymptotic behavior of global solutions to the fourth-order generalized Hartree equation iu˙+Δ2u±(Iαup)up2u=0.i\dot u+\Delta^2 u\pm(I_\alpha*|u|^p)|u|^{p-2}u=0. Indeed, for both attractive and repulsive sign, the scattering is obtained in the mass super-critical and energy sub-critical regimes, with radial setting.

Keywords

Cite

@article{arxiv.2010.07760,
  title  = {Scattering for radial bi-harmonic Hartree equations},
  author = {Tarek Saanouni},
  journal= {arXiv preprint arXiv:2010.07760},
  year   = {2020}
}
R2 v1 2026-06-23T19:22:34.831Z