• Title/Summary/Keyword: fourth order NLS

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FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS

  • Cho, Yonggeun;Ozawa, Tohru;Wang, Chengbo
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.615-640
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    • 2016
  • 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.