Paper Info
Title
Blow-up rate, mass concentration and asymptotic profile of blow-up solutions for the nonlinear inhomogeneous Schrödinger equation.
Abstract
In this paper, we study the dynamics of blow-up solutions for the nonlinear inhomogeneous Schrödinger equation. Firstly, we show the lower blow-up rate of blow-up solutions by rescaling technique, and use it to get the rate of mass concentration of blow-up solutions. Secondly, for the minimal mass blow-up solutions, we obtain the sharp lower blow-up rate by the variational methods. Finally, we investigate the limiting profile of minimal mass blow-up solutions.
Year
DOI
Venue
2014
10.1016/j.amc.2014.06.061
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear inhomogeneous Schrödinger equation,Blow-up solution,Mass concentration,Blow-up rate,Limiting profile
Mathematical optimization,Nonlinear system,Mathematical analysis,Schrödinger equation,Mass concentration (chemistry),Mathematics,Limiting
Journal
Volume
ISSN
Citations 
242
0096-3003
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Shihui Zhu171.55
Han Yang200.68
Jian Zhang364.96