# FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS

• Cho, Yonggeun ;
• Ozawa, Tohru ;
• Wang, Chengbo
• Received : 2015.04.11
• Published : 2016.03.31
• 79 20

#### Abstract

We consider the fourth-order $Schr{\ddot{o}}dinger$ equation with focusing inhomogeneous nonlinearity ($-{\mid}x{\mid}^{-2}{\mid}u{\mid}^{\frac{4}{n}}u$) in high space dimensions. Extending Glassey's virial argument, we show the finite time blowup of solutions when the energy is negative.

#### Keywords

finite time blowup;mass-critical;fourth order NLS;virial argument

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