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math.APAug 1, 2012
16
citations (OpenAlex)
authors
  • Yonggeun Cho
  • Gyeongha Hwang
  • Soonsik Kwon
  • Sanghyuk Lee
institutions
  • Jeonbuk National University
  • Korea Advanced Institute of Science and Technology
  • Seoul National University
  • Ulsan National Institute of Science and Technology
arXiv abstractPDF
paper

On finite time blowup for mass-critical Hartree equations

arXiv:1208.2302

Abstract

We consider the fractional Schrödinger 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.

Cited by in corpus (5)

  • Numerical study of fractional Nonlinear Schrödinger equations
  • Sharp Threshold of Blow-up and Scattering for the fractional Hartree equation
  • On the energy-critical fractional Schödinger equation in the radial case
  • Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
  • Energy concentration of the focusing energy-critical FNLS
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