FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS

Yonggeun Cho, Tohru Ozawa, Chengbo Wang
2016 Bulletin of the Korean Mathematical Society  
We consider the fourth-order Schrödinger equation with focusing inhomogeneous nonlinearity (−|x| −2 |u| 4 n u) in high space dimensions. Extending Glassey's virial argument, we show the finite time blowup of solutions when the energy is negative.
doi:10.4134/bkms.2016.53.2.615 fatcat:z53qwj274nbn7mjctagka2aw6m