DocumentCode
3042016
Title
Nonlinear Schrödinger equation with combined power-type nonlinearities and harmonic potential
Author
Jiang, Xiaoli ; Wang, Xuemei ; Xu, Runzhang
Author_Institution
Coll. of Sci., Harbin Eng. Univ., Harbin, China
fYear
2011
fDate
26-28 July 2011
Firstpage
2218
Lastpage
2221
Abstract
This paper discusses a class of nonlinear Schrodinger equation with combined power-type nonlinearities and harmonic potential. By constructing a variational problem and the so-called invariant manifolds of the evolution flow, we derive a sharp condition for blow up and global existence of the solution by applying the potential well theory and the concavity method.
Keywords
Schrodinger equation; nonlinear equations; concavity method; evolution flow; harmonic potential; nonlinear Schrodinger equation; potential well theory; Equations; Harmonic analysis; Manifolds; Mathematical model; Physics; Stability criteria; Blow up; Schrödinger equation; global existence; harmonic potential; sharp condition;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002665
Filename
6002665
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