| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4604630 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2011 | 9 Pages |
Abstract
In the present paper, we study the orbital stability and instability of standing waves of the Klein–Gordon–Schrödinger system. Especially, we are interested in a standing wave which is expressed by the unique positive solution w1 to a certain scalar field equation. By utilizing the property of the positive solution w1, we can apply the general theory of Grillakis, Shatah and Strauss (1987) [11] and show the stability and instability of the standing wave.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
