Title
Sharp criterion of global existence for a class of nonlinear Schrödinger equations with critical exponent.
Abstract
This paper discusses the inhomogeneous nonlinear Schrödinger equation with critical exponent. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp criterion for blowup and global existence of the solutions.
Year
DOI
Venue
2015
10.1016/j.matcom.2012.05.022
Mathematics and Computers in Simulation
Keywords
Field
DocType
Sharp condition,Invariant manifold,Global existence,Blow up,Schrödinger equation
Mathematical optimization,Nonlinear system,Mathematical analysis,Schrödinger equation,Invariant (mathematics),Invariant manifold,Nonlinear Schrödinger equation,Critical exponent,Manifold,Mathematics
Journal
Volume
Issue
ISSN
107
C
0378-4754
Citations 
PageRank 
References 
0
0.34
1
Authors
5
Name
Order
Citations
PageRank
Runzhang Xu100.34
Xuemei Wang200.34
Yi Niu34619.65
Mingyou Zhang400.34
Jie Liu5248.36