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- W2896532463 abstract "We consider the inhomogeneous nonlinear Schrodiger equation (INLS) in $mathbb{R}^N$ $$i partial u_t + Delta u + |x|^{-b} |u|^{2sigma}u = 0,$$ and show the $L^2$-norm concentration for the finite time blow-up solutions in the $L^2$-critical case, $sigma=frac{2-b}{N}$. Moreover, we provide an alternative for the classification of minimal mass blow-up solutions first proved by Genoud and Combet [4]. For the case $frac{2-b}{N} < sigma < frac{2-b}{N-2}$, we show results regarding the $L^p$-critical norm concentration, generalizing the argument of Holmer and Roudenko [16] to the INLS setting." @default.
- W2896532463 created "2018-10-26" @default.
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- W2896532463 date "2018-10-22" @default.
- W2896532463 modified "2023-09-25" @default.
- W2896532463 title "On the critical norm concentration for the inhomogeneous nonlinear Schrodinger equation" @default.
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