Abstract
AbstractIn this paper, we study the blow-up solutions for the $$L^2$$
L
2
-supercritical nonlinear Schrödinger equation with a repulsive harmonic potential. In terms of the new sharp Gagliardo–Nirenberg inequality proposed by Weinstein (Commun PDE 11:545–565, 1986), we obtain the $${\dot{H}}^{s_c}$$
H
˙
s
c
-concentration phenomenon of blow-up solutions for this $$L^2$$
L
2
-supercritical nonlinear Schrödinger equation in the space dimension $$N=2,3,4$$
N
=
2
,
3
,
4
.
Funder
Project of the Young Creative Talents in Universities in Guangdong Province in 2021
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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