English

On finite time blowup for mass-critical Hartree equations

Analysis of PDEs 2014-03-13 v3

Abstract

We consider the fractional Schr\"odinger equations with focusing Hartree type nonlinearity. When the energy is negative, we use a Glassey's virial type argument to show the finite time blow-up of solutions.

Keywords

Cite

@article{arxiv.1208.2302,
  title  = {On finite time blowup for mass-critical Hartree equations},
  author = {Yonggeun Cho and Gyeongha Hwang and Soonsik Kwon and Sanghyuk Lee},
  journal= {arXiv preprint arXiv:1208.2302},
  year   = {2014}
}