On finite time blowup for mass-critical Hartree equations

2012/08/11 by Yonggeun Cho, Gyeongha Hwang, Cho, Yonggeun +5 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/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.

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