Abstract
We show that the Klein-Gordon-Schrödinger system in one, two, and three dimensions has a global solution below the energy space. The proof uses the I-method recently introduced by Colliander et al. (2001) and mixed type Strichartz estimates for the solutions of Schrödinger and Klein-Gordon equations, respectively.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 605-641 |
| Number of pages | 37 |
| Journal | Communications in Partial Differential Equations |
| Volume | 30 |
| Issue number | 4-6 |
| DOIs | |
| State | Published - Aug 18 2005 |
| Externally published | Yes |
Keywords
- Global well-posedness
- Klein-Gordon-Schrödinger system
ASJC Scopus subject areas
- Analysis
- Applied Mathematics