Abstract
We use the ∂-inverse scattering method to obtain global well-posedness and large-time asymptotics for the defocussing Davey-Stewartson II equation. We show that these global solutions are dispersive by computing their leading asymptotic behavior as t → ∞ in terms of an associated linear problem. These results appear to be sharp.
| Original language | English |
|---|---|
| Pages (from-to) | 429-481 |
| Number of pages | 53 |
| Journal | Journal of Spectral Theory |
| Volume | 6 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© European Mathematical Society.
Keywords
- Davey-Stewartson equation
- Inverse scattering
- ∂-method
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Geometry and Topology