FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS

Title & Authors
FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS
Cho, Yonggeun; Ozawa, Tohru; Wang, Chengbo;

Abstract
We consider the fourth-order $\small{Schr{\ddot{o}}dinger}$ equation with focusing inhomogeneous nonlinearity ($\small{-{\mid}x{\mid}^{-2}{\mid}u{\mid}^{\frac{4}{n}}u}$) 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;
Language
English
Cited by
1.
A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrödinger equations, Journal of Hyperbolic Differential Equations, 2017, 14, 02, 249
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