• Cho, Yonggeun (Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University) ;
  • Ozawa, Tohru (Department of Applied Physics, Waseda University) ;
  • Wang, Chengbo (Department of Mathematics, Zhejiang University)
  • Received : 2015.04.11
  • Published : 2016.03.31


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.


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


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