Affiliation:
1. School of Mathematical Science and V.C. & V.R. Key Lab Sichuan Normal University Chengdu China
2. School of Mathematics and Statistics Hainan University Haikou China
Abstract
We study the inhomogeneous nonlinear Schrödinger equation in the
‐critical case
(
):
We establish a detailed analysis of solutions as the initial data
approaches the unstable ground state
, which satisfies the stationary equation
. The results provide information about singularity formation of the blow‐up solutions and about large‐time asymptotic behavior of the global solutions.
Funder
National Natural Science Foundation of China