Title
Sharp criterion of global existence for a class of nonlinear Schrödinger equation with critical exponent
Abstract
This paper discusses the nonhomogeneous nonlinear Schrödinger equation with critical exponent. By constructing a constrained variational problem and so-called invariant manifolds of the evolution flow, the authors derive a sharp criterion for blowup and global existence of the solutions.
Year
DOI
Venue
2006
10.1016/j.amc.2006.05.036
Applied Mathematics and Computation
Keywords
Field
DocType
Sharp conditions,Constrained variational problem,Nonhomogeneous nonlinear Schrödinger equation,Global existence,Blowup
Mathematical optimization,Mathematical analysis,Schrödinger equation,Invariant (mathematics),Numerical analysis,Critical exponent,Nonlinear Schrödinger equation,Mathematics,Manifold,Constrained optimization
Journal
Volume
Issue
ISSN
182
2
0096-3003
Citations 
PageRank 
References 
1
0.63
0
Authors
2
Name
Order
Citations
PageRank
Ji Shu110.96
Jian Zhang264.96