Title of article
Biharmonic nonlinear Schrödinger equation and the profile decomposition Original Research Article
Author/Authors
Shihui Zhu، نويسنده , , Jian Zhang، نويسنده , , Han Yang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
12
From page
6244
To page
6255
Abstract
This paper is concerned with the Cauchy problem for the biharmonic nonlinear Schrödinger equation with L2L2-super-critical nonlinearity. By establishing the profile decomposition of bounded sequences in H2(RN)H2(RN), 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 Schrödinger equation is given.
Keywords
Profile decomposition , Global existence , Biharmonic nonlinear Schr?dinger equation
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
863397
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