Biharmonic nonlinear Schroedinger equation and the profile decomposition

This paper is concerned with the Cauchy problem for the biharmonic nonlinear Schroedinger equation with L super(2-super-critical nonlinearity. By establishing the profile decomposition of bounded sequences in [inline image][inline image], the best constant of a Gagliardo-Nirenberg inequality is obta...

Full description

Saved in:
Bibliographic Details
Published inNonlinear analysis Vol. 74; no. 17; pp. 6244 - 6255
Main Authors Zhu, Shihui, Zhang, Jian, Yang, Han
Format Journal Article
LanguageEnglish
Published 01.12.2011
Subjects
Cauchy problem
Decomposition
Inequalities
Nonlinearity
Schroedinger equation
Online AccessGet full text

Cover

More Information
Summary:This paper is concerned with the Cauchy problem for the biharmonic nonlinear Schroedinger equation with L super(2-super-critical nonlinearity. By establishing the profile decomposition of bounded sequences in [inline image][inline image], the best constant of a Gagliardo-Nirenberg inequality is obtained. Moreover, a sufficient condition for the global existence of the solution to the biharmonic nonlinear Schroedinger equation is given.)
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 23
ObjectType-Feature-2
ISSN:0362-546X
DOI:10.1016/j.na.2011.06.004