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Finite time blowup for the fourth-order NLS

Yonggeun Cho|Tohru Ozawa|Chengbo Wang
대한수학회 (The Korean Mathematical Society)|2016.03|대한수학회보 (Bulletin of the KMS)|제53권 제2호|pp. 615-640

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참고문헌

키워드

finite time blowupmass-criticalfourth order NLSvirial argument
주제분류수학

초록

We consider the fourth-order Schr\"odinger equation with focusing inhomogeneous nonlinearity $(-|x|^{-2}|u|^\frac4n u)$ in high space dimensions. Extending Glassey's virial argument, we show the finite time blow-up of solutions when the energy is negative.

Abstract

We consider the fourth-order Schr\"odinger equation with focusing inhomogeneous nonlinearity $(-|x|^{-2}|u|^\frac4n u)$ in high space dimensions. Extending Glassey's virial argument, we show the finite time blow-up of solutions when the energy is negative.

참고문헌 (24)

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