| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1899914 | Physica D: Nonlinear Phenomena | 2007 | 7 Pages |
Abstract
Variational methods are used to prove that the solutions of the nonlocal Schrödinger equation iφt+△φ+φ|φ|p−2(V(x)∗|φ|p)=0,x∈RN must blow up for a class of initial data with nonnegative energy and some restriction on pp. Then using this we prove that the standing wave must be H1(RN)H1(RN) strongly unstable with respect to the nonlocal nonlinear Schrödinger equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jianqing Chen, Boling Guo,