| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840987 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 12 Pages |
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.
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Authors
Shihui Zhu, Jian Zhang, Han Yang,